Wednesday

August 20, 2014

August 20, 2014

Number of results: 1,716

**math**

Let f be a real value function and x Df then 0 lim ( ) ( ) h f x h f x h + - when it exists is called A) The derivative of f at a B) The derivative of f at h C) The derivative of f at x D) The derivative of f at x = h
*November 2, 2012 by Zaheer*

**Calculus--> bobpursley**

How do you get m=0? from taking the second derivative? does c=1? Can you check my work on how I get the derivative of R=M^2(c/2-m/3) NEXT R=1/2(CM^2)-1/3(M^3) NEXT dR/dM=CM-M^2. I checked in the back, and that was the answer for the first part of the equation. Isn't the ...
*May 30, 2007 by Anonymous*

**calc**

derivative of (x^3/6)+(1/2x)? i got (x^2/2)-(1/2x^2) is that correct? and then wut is the (F'(x))2?...meaning the derivative squred? if you meant (1/2)x^2 - 1/(2x^2) you are correct I don't think they are looking for the square of the derivative, but rather the second ...
*May 6, 2007 by MARY*

**math derivative please help**

the derivative of 2x^e is zero right or no? do i have to use the log formula 2 x^e is x to the power 2.718.. It is not a constant and therefore the derivative is not zero. Use the formula for the derivative of x to a power that is constant (x^a). The formula for that may ...
*September 24, 2006 by Anonymous*

**Calculus - derivatives**

Okay, I want to find the derivative of (x^x)^(x^x)... Well, I already went through the process of finding the derivative of just x^x (I used ln to do this). This is what I found... dy/dx = x^x(lnx+1) So now I want to find the derivative of (x^x)^(x^x) (using ln). This is what ...
*November 29, 2009 by Lucy X*

**math**

Find the derivative of y=3x-2(4^x) Here is my attempt: Derivative of 3x is 3 Derivative of 2 is 0 derivative of 4^x is 4^x(ln(4)) Answer: 12^x(ln(4)) Is this correct? If not please explain what I did wrong and what the correct answer is and why. Thanks!
*October 15, 2013 by Anonymous*

**Derivatives- Math**

Can someone explain how to find the derivative of : 1. y= 5^x / x And the second derivative of: y= xe^10x For this question I got up to the first derivative and got this y = e^10x + 10xe^10x but I can't seem to get the correct answer for the second derivative.
*April 19, 2010 by Mae*

**Calculus**

R=M^2(c/2-m/3) dR/dM=CM-M^2 I found the derivative. Now how would I find the vale of M that maximize the derivative dR/dM? set it to zero, and solve for m. You get two solutions. Use the second derivative to see which one is the max. I get M=C. How do I go from there? What do ...
*May 29, 2007 by Anonymous*

**Calculus**

I need to find the second derivative of y=x(x-1)^1/2. I found the first derivative is 2x-1/2(x-1)^1/2, if someone could check, but I am miserably stuck on the second derivative.
*April 18, 2011 by Amie*

**Calc-please help!**

What is the second derivative of (x^3)/(x^2-1)? And how would I accurately graph both the derivative and the second derivative of this function?
*November 1, 2011 by Haley*

**CALCULUS HELP**

Find the second derivative for the function 5x^3+60x^2-36x-41 and solve the equation F(X)=0 i got to the second derivative but what do we do next to be able to get one of these answers.. F(x) = 5x3+60x2−36x−41 1. derivative of F(x) with respect to x = 15x2+120x&#...
*September 26, 2012 by Herosugar*

**Calculus (Help)**

Also I would like to know how to set this problem up in finding the answer: Find the second derivative. y= sqrt(3x+4) Thanks, P.S. I tried taking 3x+4 and squaring it to the 1/2. I thought that might've been the same, then I took the derivative of that and got 1/2(3x+4)^(-1/2...
*February 21, 2007 by Confused*

**Differentiation**

Again, that all makes sense. Thank you very much. Thank you very much. I did get the derivative you show, but then divided thru by 6 to get at the stationary points. Was that wrong? I'm only looking for a critique please, not answers! given: f(x)= −2x 3 +21x 2 − ...
*June 20, 2007 by CharlieGolf*

**calculus**

Differentiate both sides of the double angle identify sin 2x= 2 sin x cos x to determine an identify for cos x. Find the first derivative, second derivative, third fourth, fifth, sixth, seventh and eighth derivative. Use the results to find the twelfth and fifteenth derivative...
*February 21, 2012 by john *

**calculus**

Find the first and second derivative - simplify your answer. y=x/4x+1 I solved the first derivative and got 1/(4x+1)^2 Not sure if I did the first derivative right and not sure how to do the second derivative.
*March 16, 2011 by Janet*

**calculus**

Please help with this. I need the first derivative of f(x)=4(x+squareroot (x(8-x)) and then the second derivative of this to show by the second derivative test that it is a local maximum. This is difficult to put into form here and I hope I have got it right. Many thanks.
*February 24, 2011 by Frank*

**Chain Rule**

Any help would be much appreciated with the steps involved in each problem given. Thank you. 1) Find derivative if y =cot x + sin x 2) Find derivative if y = (3x+5)^8 3) Find derivative if y = x csc x 4) Find derivative if y = x 3x + 1 (3x + 1 is under the square root) 5) ( ...
*September 26, 2007 by Matt*

**Calculus**

Any help would be much appreciated with the steps involved in each problem given. Thank you. 1) Find derivative if y =cot x + sin x 2) Find derivative if y = (3x+5)^8 3) Find derivative if y = x csc x 4) Find derivative if y = x 3x + 1 (3x + 1 is under the square root) 5) ( ...
*September 30, 2007 by Matt*

**Calculus**

Any help would be much appreciated with the steps involved in each problem given. Thank you. 1) Find derivative if y =cot x + sin x 2) Find derivative if y = (3x+5)^8 3) Find derivative if y = x csc x 4) Find derivative if y = x /3x + 1 (3x + 1 is under a square root(/) 5) ( f...
*September 30, 2007 by Matt*

**calculus**

Please help with this. I submitted it below and was asked to clarify by Henry (hope this is clearer and thank you). I need the first derivative of f(x)=4(x+ sqrt (x(8-x)).And then the second derivative of this to show by the second derivative test that it is a local maximum. ...
*March 4, 2011 by Frank*

**calculus**

Find the derivative of the function using the definition of derivative. g(t)= 9/sqrt(t) g'(t)= state the domain of the function and the domain of the derivative (use interval notation)
*September 19, 2012 by maura urgent!!*

**Applied Calculus**

Find the first and second derivative of the function: x/(7x+10) Using quotient rule. This is part of my homework in the section named "Higher Order Derivatives". I am confused on getting the second derivative, as I found the first derivative to be 10/(7x+10)^2
*February 20, 2013 by Jacob*

**Math - derivative of sinusoidal (check)**

a) Find a function y=f(x) that satisfies the differential equation dy/dx = fifth derivative. This is one of the questions in my practice test, I tried the basic equation of the trig function such as f(x)= sin(x) or f(x)=-sin(x) however in the fourth derivative they reach the ...
*November 29, 2010 by Farah*

**Math - derivative of a rational function**

find the 1st derivative of f(x) = x/(x-1)2 Is the 1st derivative f'(x)= -x-1/(x-1)^3
*October 29, 2010 by Farah*

**derivative**

Would the first derivative of R(t)=9t[(t-4)^3/2.718] be R'(t)=3.311258278(3(t-4)^2(t)+(t-4)^3) and the second derivative be R''(t)=3.311258278(6(t-4)x+6(t-4)^2)?
*May 18, 2014 by Liz*

**Calculus**

If I have a function f(x), and am given its derivative, f'(x): may I take it as a given that f(x) is an integral of f'(x). My reasoning is that 'undoing' the derivative gives me the derivative. Eg is 1/3x^3 an integral of x^2? Thanks.
*September 15, 2007 by charlie*

**calculus**

Please help with this. I submitted it below but no one responded. I need the first derivative of f(x)=4(x+ then the square root to include (x(8-x)), then close bracket.And then the second derivative of this to show by the second derivative test that it is a local maximum. This...
*March 1, 2011 by Frank*

**math**

I have the same project as Jill down there... -What is the definition of a derivative? -What does the derivative of a function tell you (in english) ? Then I need an example of the power rule, quotient rule, and chain rule. -What information does the FIRST derivative tell you ...
*May 19, 2011 by Teenie*

**Calculus**

Use a symbolic differentiation utility to find the derivative of the function g(x)=x((x^2)+1). Use the utility to graph the function and is derivative on the same set of coordinate axes. Describe the behavior of the function that corresponds to any zeroes of the graph of the...
*November 11, 2007 by Jon*

**Calculus derivative**

find the slope m and an equation of the tangent line to the graph of the function f at the specified point. original: x^2/x+10 point: (3,9/13) After I found the derivative: (x+10)(2x)-(x^2)(1)/((x+10))^2 How do I get the slope? Should I put 3 into the derivative equation?
*September 17, 2013 by Eve *

**calculus**

Could someone check my reasoning? thanx Find the derivative of the function. sin(sin[sinx]) I need to use the chain rule to solve. So I take the derivative sin(sin[sinx) first. Then multiply that by the inside which is the derivative of sin[sinx]. And multiply that by ...
*May 7, 2009 by XCS*

**local min**

f(x) = x^4 + ax^2 What is a if f(x) has a local minimum at x=5. How do I justify the answer. The first derivative has to be zero at x = 5. You then check what the second derivative is at x = 5. If it is positive then that's ok. In this case you find that a = -50 and that the ...
*November 19, 2006 by Jen*

**Calculus**

How would I go about finding the derivative of f(x)=ln(x)(7x-2)^3 first=ln(x) second= (7x-2)^3 Would I do first times the derivative of the second + second times the derivative of the first? If so, what is the derivative of lnx? I'm confused. Thanks for your help. --Cori
*August 24, 2007 by Corin*

**Math: partial derivative**

z=u(v+w)^(1/2) find ∂^3z/(∂u∂v∂w) what partial derivative am I suppose to be finding exactly? Do I take the derivative of z three times? Please help. Thank you.
*July 11, 2010 by C*

**Calculus**

Does my answer look correct? Find the derivative. 11, y= (e^3-e)(e+5)/6e my work: ((6e)(4e^3 + 15e^2 - 2e - 5) - (6)(e^4 + 5e^3 - e^2 - 5e))/ (6e)^2 Multiplied/divided everything through My answer: (10e^2 + 30e - 3)/ 18 I cant follow your work: I assume e is a derivative. (e^3...
*December 19, 2006 by Alexandra*

**Calculus**

Explain the global optimization process for a continuous function over a closed interval. Be sure to identify all steps involved and clearly explain how the derivative is utilized in this process. Does this have to do with the first derivative rule or second derivative rule ...
*October 25, 2008 by George*

**Calculus**

Explain the global optimization process for a continuous function over a closed interval. Be sure to identify all steps involved and clearly explain how the derivative is utilized in this process. Does this have to do with the first derivative rule or second derivative rule ...
*October 27, 2008 by George*

**Calc**

a) y =ln(x-1) find dy/dx=? b) y=3 ln x - ln (1/x) where x >0, dy/dx= ? My teacher says the answers are a) (2x)/(x^2-1) and b) 4/x I am not sure how you find the derivative when they involve ln. Could you please explain to me how to get these answers? I have a quiz on them ...
*January 16, 2007 by Jamie*

**Calculus derivatives**

f(a) = a + √a (a) Find the derivative of the function using the definition of derivative.
*October 27, 2008 by Ben*

**Ab Initio Derivative**

Can anyone plz post the procedure for finding the derivative of :- e^ax by ab inition method?
*November 2, 2010 by Mos Def*

**Math**

Find the derivative of f(x)= 2 sqrt x at x=4. i thought that the derivative would be 2 x^1/2 but I guess this is wrong.
*February 5, 2011 by Hannah*

**calculus**

Calculate the derivative of the function. Then find the value of the derivative as specified. f(x) = 8/(x+2); f '(0)
*July 4, 2010 by theo*

**Calc**

Set the first derivative and second derivative of x^2/x-2 equal to 0. Solve for 0.
*October 22, 2012 by Anonymous*

**derivative of y**

how to find derivative of y: y = sin inverse(square root of 2t) I got this. Please ignore.
*October 18, 2006 by Jen*

**maths**

f(x)=ln(e^x-e^-x), x>0 By applying in turn the Composite and Quotient Rules, find derivative and second derivative. Thanks.
*May 14, 2011 by albert*

**maths**

f(x)=ln(e^x-e^-x), x>0 By applying in turn the Composite and Quotient Rules, find derivative and second derivative.
*May 15, 2011 by albert*

**maths**

f(x)=ln(e^x-e^-x), x>0 By applying in turn the Composite and Quotient Rules, find derivative and second derivative. Thanks.
*May 16, 2011 by albert*

**maths**

f(x)=ln(e^x-e^-x), x>0 By applying in turn the Composite and Quotient Rules, find derivative and second derivative. Thanks.
*May 17, 2011 by albert*

**Calculus I**

Find the derivative of y=ln((1+e^x)/(1-e^x)) I know that the derivative of y=ln(1+e^x) would be (e^x)/(1+e^x), but I'm not sure what to do with the 1-e^x on the bottom here. Can someone help please? Thanks!
*May 21, 2012 by Marissa*

**Calc-Derivative**

Find the derivative of x^(1/x). Can someone show me steps for this problem...I go round in circles
*December 9, 2012 by Anon*

**Is this f'(x) or partial derivative?**

Find d VC/ d y = ((y/240)^2)(w) = 2yw/240^2 + 0 + y^2/240^2 but final answer is.... = 2yw/240^2 So, is the question asking for partial derivative or first derivative? I think partial because the final answer only took the derivative with respect to y.
*October 14, 2009 by Anonymous*

**Calculus**

If P'(t)= [10(t+2)]/t. What is P(t)? It is asking for the derivative, and I am so lost! Because so far we haven't covered how to find the derivative of something so complicated. Any ideas? TY
*August 15, 2010 by Jaimie*

**calculus**

Use the function defined below to calculate the indicated derivative. f(t)= 4/(t^3)+3 what is f''(2) (second derivative) Need help!!
*September 22, 2010 by Ben*

**Calculus**

Use derivative formulas to find the derivative of the function. please show your work h(x)=10^3-25x^6+3x^15
*September 25, 2012 by Sarah*

**calculus**

3. Plot f(x) =ln(x) and f(x) = 1/x in your calculator. Remembering that the derivative of f(x) is the instantaneous rate of change of f(x) why does it make sense that 1/x is the derivative of ln(x)?
*February 10, 2014 by karim*

**Math**

How would I find the derivative of x^2 + 3x using the definition of the derivative?
*December 5, 2007 by Jessica*

**Derivative Calculus**

I just need my answers checked. 1) Find the derivative. f(x)=3x^5/4 - 8/9x^9/8 + x^2 - 9x + 1 Answer: f(x)= 15/4x^1/4 - x ^1/8 + 2x -9 2) Let f(x)= 7x^3 - 9x. Find f(5) Answer: f(x)=21x^2-9 f(5)=516 3) Find the given limit by evaluating the derivative. lim h⇒0 5(7+h...
*June 14, 2011 by Steff*

**Calculus**

Find the derivative of the function using the definition of a derivative. F(x)=squareroot(1-3x) Please show work for understanding, thank you! :)
*February 14, 2013 by Tori*

**Derivative**

implicitly differentiate f(x) 2xy= y ^2 find second derivative with relevance to x and y. i get y''= -xy' - y/ (y-x)^2 this is wrong though. can someone please help me. thank you
*March 21, 2013 by Mary*

**College Calculus 1**

We have to find the first and second derivative of f(x)=x^(2/3)(6-x)^(1/3) I have the first derivative as being (4-x)/(x^(1/3)(6-x)^(2/3)) And that I know is right. The second derivative is -8/(x^(4/3)(6-x)^(5/3)) I did all the work but I am not getting the right answer... I ...
*October 14, 2010 by Please help*

**Calc Help**

Find two functions that this could be the derivative of: y'=4x+7 Remember the derivative of any constant is zero. take its antiderivative i suppose... y= 2x^2 + 7x + any number
*March 7, 2007 by Rob*

**Math/Derivative**

Can someone help me figure out the answer and..possibly show the steps.. to finding the derivative of these 3 questions.. 1. f(x)=2(e^x) - x^2 2. f(x)=e^x/(e^x +1) 3. y=10^(√x)
*October 30, 2012 by Jes*

**Calculus (Global Max)**

Explain the global optimization process for a continuous function over a closed interval. Be sure to identify all steps involved and clearly explain how the derivative is utilized in this process. Does this have to do with the first derivative rule or second derivative rule ...
*October 25, 2008 by George*

**Calculus**

Find the derivative of f(x)=x(1-4^x) f'(x)=(1-4^x)+ (-4^x)(ln-4)(-4)(x) ln can't be negative. Is the derivative correct?
*October 29, 2010 by sh*

**Calculus**

Find the derivative of m(x)=1/(x+1) by using the definition of the derivative.
*February 12, 2013 by Becky*

**main legal issues**

CATCHWORDS: CORPORATIONS - statutory derivative action - application by 35% shareholder/director to bring derivative proceedings after company's assets were transferred to a company from which the applicant is excluded - inadequacies of proposed points of claim - whether those...
*March 2, 2007 by nina*

**Calculus**

Show that the curves r=acos() and r=cos() intersect at right angles. can it be shown that the derivative of one is the negative reciprocal of the derivative of the other?
*April 5, 2007 by Amy*

**Calculus Derivative**

I'm trying to calculate the derivative of this: P= mv/ sqrt(1-v^2/c^2)where m and c are constants, and v depends on t. I know about the chain and product rules but I'm not even sure where to start. :/ Thank you for your help.
*March 6, 2013 by Mary*

**partial differentiation**

u(x,y)=xln(x^2+y^2)-(2y times inverse of tan of y/x) 1)find derivative of u wrt to x and then wrt y 2)show that (x times derivative of u wrt x)+(y times derivative of u wrt y) = u +2x
*February 3, 2009 by pakh*

**calculus**

If the hands on a clocktower's clock are 2ft and 3ft long, how fast is the distance between the tips of the hands of the clock changing at 9:20? I know that the derivative of the minute hand is pi/30 rad/min and derivative of the hour hand is pi/360 rad/min. what is the ...
*November 11, 2012 by nico*

**Calculus**

can sumeone plz help me find the derivative of (2x^2 - 12x -2) / ((x^2 + x - 2) ^ 2) thx a lot Use the following rule: derivative of u(x)/v(x) = [v du/dx - u dv/dx]/ v^2 In your case, du/dx = 4x - 12; dv/dx = 2 (x^2 + x -2)*(2x +1) v^2 = (x^2 + x - 2)^4 Put it all together
*June 3, 2007 by Jinal*

**calculus**

Hello. I need help finding the open intervals of this equation: f(x)=3x^2-12 I already took the derivative of it by using the derivative test and I got 2,-2 as critical numbers
*January 28, 2008 by Mandy*

**calculus**

Hello. I need help finding the open intervals of this equation: f(x)=3x^2-12 I already took the derivative of it by using the derivative test and I got 2,-2 as critical numbers
*January 28, 2008 by Mandy*

**calculus**

For a function f(x) the derivative at x=2 is 5. Is the derivative of f(x) continuous at x=2? Thanks!
*December 1, 2008 by Ginger*

**calc **

How do you find the derivative of: ln(3x^2 + x - 1) I know the derivative of lnx is 1/x
*April 20, 2010 by Ted*

**calculus**

Would the derivative of ln(x^2) be 1/x^2? and also the derivative of ln(2^s) be 1/2^s
*October 7, 2010 by Help asap!! plz*

**Calculus derivative**

How do you do the derivative of a^x, for example, (3/4)^x Thank you for helping!
*September 27, 2012 by Grateful*

**calculus derivative HELP!**

Find the derivative of: y=2sqrt(x)-(1/x)
*October 8, 2012 by erica*

**Quantum mechanics, eigenfunctions!**

Determine if the function sin(x)*e^(ax) where a=constant is an eigenfunction of the operators d/dx and d^2/(dx)^2 Okay. My understanding is that you use the operator and perform its "thing" on the function. In this case, you will have to find the 1st derivative of sin(x)*e^(ax...
*October 8, 2009 by Steven*

**calculus**

i need to use implicit differentiation to find the derivative: yx+y = 8 i keep getting y'=-1-y. i already know the derivative of this, by using explicit by simplification: y(x+1)=8 y=(8)/(x+1) y'= -(8)/(x+1)^2 how do i go about doing this the right way?
*January 17, 2014 by eric*

**Pre-cal**

Hi, I don't understand this problem also. Find the the relative maximmum and minimum of x^3 - 6x^2 + 15. I'm supposed to do it using a graphing calculator but I still don't see any "lows" or "highs". Relative max and mins will occur when the derivative is equal to zero. The ...
*February 16, 2007 by Lisa*

**Partial derivative**

Hello I trying to do a problem on partial derivative. I know the partial derivative of 3x+2y with respect to x would be 3 and with respect to y would be 2. But wut if it is squarroot of 3x+2y, wut is the partial derivative of it with respect to x and y
*October 30, 2007 by Kim*

**Calculus**

If x = t^2 + 1 and y = t^3, then d^2y/dx^2 = I know I can solve for t in terms of x and substitute that into y = t^3 and find the double derivative. I also know that I can take the derivative of x and y then divide dy/dt by dx/dt. Then take the derivative to get the answer. ...
*May 15, 2008 by Anonymous*

**calc**

f(x)= x^3/x^2-16 defined on [-19, 16] How would you find the vertical asymptopes? and the inflection point? I think you take the derivative and set it to zero? but i cant figure out the correct derivative or something??
*March 18, 2009 by Paisley*

**Calc**

I'm creating a "calculu for dummies" project book. I've already done most of it, I'm just stuck on these ones. Thank you! -What is the definition of a derivative? -What does the derivative of a function tell you (in english) ? Then I need an example of the power rule, quotient...
*May 19, 2011 by Jill*

**calculus**

You are given the following function. f(x)= (8+x)/(1-8x) (a) Find the derivative of the function using the definition of derivative. (b) Give the domain of the function. c) Give the domain of derivative of function?
*February 28, 2010 by isha*

**math**

find derivative using limit definition: f(x) = x - sqrt(x) so f'(x) = lim h->0 [f(x+h) - f(x)]/h but I keep trying to solve by multiplying by the conjugate but I can't figure it out..there's nothing that can be cancelled or anything and I can't get the derivative
*September 26, 2011 by terra*

**calculus**

how do you find the derivative of (X^2(2+x^1/2))/x^4. I'm confused because of the exponents rules. please show me the steps in simplifying the exponents then taking the derivative.
*October 23, 2007 by jennifer*

**math**

Consider the function defined below. y = 2t3 - 4t2 + 3 (a) Calculate the second derivative. y '' = (b) Calculate the third derivative. y ''' =
*June 21, 2010 by Jack*

**Math - derivative of f(x) (check)**

f(x)= (x^2-1)^3,is its derivative f'(x)= 6x^5 -12x^3 + 6x. Is there an alternative answer, because a computer generated answer is diff then mine. please help.
*October 27, 2010 by Anonymous*

**Math(Please check)**

Find the derivative of f(x)=7x-19 at x=2. I think that the derivative would be 7 and theb times 2 so 14. Is this correct or would it just be 7.
*January 30, 2011 by Hannah*

**calculus**

find the second derivative of F(x)=3e^-2x(^2) to find the inflection points. I am trying but I don't think I'm finding the first derivative correctly.
*April 14, 2012 by casidhe*

**Calculus **

y= ln3x *e^2x^2 + sin5x^2 find the derivative. i know what to do. but what is the derivative of ln3x? I can plug it into the product rule then nd solve
*January 19, 2012 by Aaron*

**Calc.**

find the derivative of 3x^4-5x+3/x^4+1 i know that the derivative of the numeratoor would be 12x^3-5 but i'm not sure if its right since it has a denominator i Know i need to do something to it but not sure if to simplify.
*December 9, 2009 by Nancy*

**anti derivative**

please help me find anti derivative of -sinx * cos^2x am i using integration by parts?
*November 19, 2008 by mary*

**Derivative**

What is the derivative of this y= 1/sin^2x - 2/sinx
*May 15, 2010 by Ken*

**Calculus**

What is the derivative and second derivative of 3x/(x^2-4)
*June 22, 2010 by Lala*

**derivative**

How do you find the derivative of F(x) = root5(3 + 5 x + x^3)?
*November 4, 2010 by Anoymous*

**derivative **

Find the derivative. 11) f(t)=(1)/(sqrt(8t-3)) 12) g(t)= ((4t-3)^2)/ ((5t+1)^4) Thanks.
*June 15, 2011 by Ben*

**calculus derivative **

find the derivative of: y=(x/(x+1))^3
*October 8, 2012 by erica*

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