can you please find the first 5 derivatives for: f(x) = (0.5e^x)-(0.5e^-x) f'(x) = ? f''(x) = ? f'''(x) = ? f''''(x) = ? f'''''(x) = ? thanks :) f(x) = (0.5e^x)-(0.5e^-x) f'(x) = 0.5 e^x + 0.5 e^-x f''(x)

86,781 questions
1. math

I studied derivatives before, but kind of forgot them all, is there a website that gives me an overview of derivatives. What is first and second derivatives, how to find it, all the derivative rules and so on... thank you

asked by Sam on October 9, 2008
2. convert derivatives of x,y,z, to r, Ɵ,z

convert derivatives of x,y,z, to r, Ɵ,z with chain rule? I want provment rules of converting rectangular derivatives to cylindrical derivatives and and also cylindrical to spherical.I know the rules but I cant prove EQUATIONS.thx alot

asked by parsa on December 1, 2011
3. Calculus

Find the outside and inside functions of the following to find their derivatives: 1) sqrt(2x+9) 2) cos(cos(x)) 3) tan(x) I already know how to find their derivatives I'm just not exactly sure what parts of the chain rule equation would be considered the

asked by Robin on June 18, 2013
4. calculus

find the second-order partial derivatives of f(x,y)=x^3 + x^2y^2 + y^3 + x+y and show that the mixed partial derivatives fxy and fyx are equal

asked by maggie on March 7, 2012
5. Calculus

show that the curves r=asin(è) and r=acos(è) intersect at right angles. can you show that the derivatives for each are the negative reciprocal of each other? That is the key. i need more info..i know how to find the derivative...but how will that prove

asked by Amy on April 5, 2007
6. Math - Calculus 1

Approximate using derivatives. (Must show work using derivatives!) Do not use a calculator: (1.1)^4 - (1.1)^2

asked by James on October 7, 2016
7. Calculus

Okay so I have a question on my assignment that says: You are given that tan(y) = x. Find sin(y)^2. Express your answer in terms of x. I know its derivatives, and I've tried taking the derivatives of both etc, and got them both to come out as cos(y)^2,

asked by Tracy on October 21, 2006
8. Math-Derivitives

if f(x)=x^3+5x, then f'(2)= if f(x)=cos(2x), then f'(pi/4) derivatives and anti derivatives please help

asked by AdrianV on March 23, 2010
9. calculus

a)find the first partial derivatives of f(x y)= x √1+y^2 b)find the first partial derivatives of f(x,y)= e^x ln y at the point (0,e)

asked by maria on March 11, 2012
10. Calculus III

Hi, this question is about Langrange multipliers. Given f(x,y) = y^2 - x^2, subject to the constraint g(x,y) = 0.25x^2 + y^2 = 1, find the max and mins. So I found the partial derivatives for both f(x,y) and g(x,y): fx = -2x fy = 2y gx = 0.5x gy = 2y And

asked by Justin on December 11, 2016
11. Calculus III

Hi, this question is about Langrange multipliers. Given f(x,y) = y^2 - x^2, subject to the constraint g(x,y) = 0.25x^2 + y^2 = 1, find the max and mins. So I found the partial derivatives for both f(x,y) and g(x,y): fx = -2x fy = 2y gx = 0.5x gy = 2y And

asked by Justin on December 10, 2016
12. Calculus III

Hi, this question is about Langrange multipliers. Given f(x,y) = y^2 - x^2, subject to the constraint g(x,y) = 0.25x^2 + y^2 = 1, find the max and mins. So I found the partial derivatives for both f(x,y) and g(x,y): fx = -2x fy = 2y gx = 0.5x gy = 2y And

asked by Justin on December 9, 2016
13. Calculus

Hi~ Thank you for your help! I was trying to work on a problem about Taylor series, but i don't think im approaching the problem the right way. I have to find the fifth order Taylor polynomial and Taylor series for the function f(x) at x = 0. f(x) =

asked by KIKSY on March 7, 2011
14. Calculus

Just got through with derivatives, power rule, and chain rule. I am supposed to find the first and second derivatives of the function. y = 4x/√x+1 and y = cos^2(x) y' = [(x+1)^(1/2)(4)]-[(4x)(1/2(x+1)^(-1/2))(1)] y' =

asked by Justin on September 26, 2015
15. Maths

Find the derivatives of these: f(x)=√

asked by alexis on November 13, 2012
16. calculus

In dire need of help with derivatives. if f(x)=(x2+3x+6)3, find f'(x) if f(x)=3^1/2 / t^5 (square root of three divided by t to the 5th power), find f'(x) If f(x)=(3x+4)^–1 , find f(x) .

asked by michael on October 22, 2009
17. calculus

Let f be a function that has derivatives of all orders for all real numbers. Assume f(0)=5, f'(0)=-3, f''(0)=1, and f'''(0)=4. Write the third-degree Taylor polynomial for h, where h(x) = integral of f(t)dt from 0 to x, about x=0 for this part, I got

asked by Meredith on March 16, 2007
18. calculus

Find the derivatives of the functions k(x)=(x^3+e^x)^4

asked by Joe on February 11, 2013
19. calculus quick question

g(x)= sqrt(1-4x^2) Can someone help me find the first and second derivatives please!

asked by dt on December 2, 2012
20. calculus

find the derivatives F(x)=8ln(x^5-2x)

asked by melissa on April 6, 2011
21. calculus

Find the derivatives of the following function: i)y=-3x^-3 +2x^-2 + x-2

asked by jayblaze on May 31, 2017
22. Math

HELP DERIVATIVES!!!!!!!!!!!!! if h(x)=f[f(x)] use the tables for f and f' to find the value of h'(1) X f(x) f'(x) 1 3 2 2 1 5 3 6 7

asked by Ke\$ha on December 26, 2016
23. calculus

find the first and second derivatives for 3x^4-4xy^2+7=2y

asked by jack on October 14, 2015
24. Calculus

Find all first partial derivatives: f(x,y)=e^(xy)cosx

asked by Elyse on May 31, 2013
25. calc

find the derivatives of the given functions. g(t)=sqrt t(1+t)/t^2

asked by Jake on February 5, 2013
26. math (2)

Find the first partial derivatives of the function. f(x,y,z) = xe^(y/z) a. fx = ? b. fy = ? c. fz = ?

asked by Mia on May 1, 2014
27. Calculus - HELP plz!

Find all of the first partial derivatives of f(x,y,z)=arctan y/xz

asked by Sara on June 2, 2013
28. calculus

find the derivatives 1. y=sin^3(2x)(cos2x)

asked by gen on January 4, 2011
29. calculus

Find the first and second derivatives of the function. h(x) = sqrt x^2 + 1

asked by Vishnu on October 14, 2008
30. math (2)

Find the first partial derivatives of the function. f(x,y,z) = xe^(y/z) a. fx = ? b. fy = ? c. fz = ?

asked by Mia on April 30, 2014
31. Math

Find the derivatives of the function g(t)= cosh^3 t.

asked by Joe on October 9, 2012
32. calculus

find the derivatives 1. y=sin^3(2x)(cos2x)

asked by gen on January 4, 2011
33. Calculus

asked by sh on November 10, 2009
34. trig

I need help finding derivatives and antiderivatives. Given: f(x),find f'(x) 1. f(x)-2x^6 2. f(x)= -3x +7 3. f(x)= 3x^2 - 5x 4.f(x)= 1/2x^2 - x + 4

asked by Anna on January 12, 2012
35. Calculas

Can someone please walk me through the steps for the following Partial derivatives problems: f(x,y) = x^7 - 8y - 3, find x and y f(x,y) = 7 / 5x+4y, find x and y

asked by Annette on June 11, 2008
36. Calculus

Find a formula for the derivatives of the function m(x)=1/(x+1) IS the answer -1/(x+h)(x+h+1)

asked by George on September 13, 2008
37. calculus

Find all first and second partial derivatives of z with respect to x and y if x^2+4y^2+16z^2−64=0.

asked by andre on August 24, 2016
38. Maths

Find the first and second derivatives of the following function: f(x)=7cosx+sin2x

asked by Amilia on November 20, 2017
39. math

Z=square root of (x^2+y^2) + xy Find the partial derivatives: x, xx, y, yy, xy. Thanks.

asked by jean on September 24, 2014
40. math

Find the derivatives of the following functions. 1.F (x)cotx 2.f (x)=sin (x2+2)

asked by samet on May 31, 2017
41. calculus

Z=square root of(x^2+y^2) + xy Find the partial derivatives: x, xx, y, yy, xy. Thanks.

asked by jean on September 24, 2014
42. Differential Euation

How do you find the primes denote derivatives with respect to x. Such as xy'+ 5y= 7x^2, y(2)= 5

asked by Danielle on February 15, 2012
43. science

find derivative of f(x)=1/sqx^2+1 by using the definition of derivatives

asked by ibk on March 10, 2012
44. Calculus

Find f(39)(x). f(x)=ex It gives no options and I'm so bad at high derivatives

asked by Twixx on January 17, 2019
45. differential calculus

use the product rule to find the derivatives of the given function y=(3x^2-8)^2

asked by ash on April 30, 2011
46. Calculus

If F(x)=f(g(x)-h(x)), where g(3)=5, h(3)=4, g'(3)=3, h'(3)=1 and f'(1)=10, find F'(3). I know how to do derivatives and all, but I rlly can't figure this question out

asked by Aa on August 17, 2016
47. math

Find the first order partial derivatives. z=ln(xy-sqrt(x^2-y^2)

asked by jay on November 23, 2015
48. Calculas

Can someone walk me through the following questions: Partial Derivatives f(x,y) = x^7 -8y -3 find x and y f(x,y) = 7 / 5x + 4y, find x and y

asked by Annette on June 11, 2008
49. calculus

find the partial derivatives du/dx, du/dy and du/dt. u= root (r^2+s^2, r = y + x cos(t), s = x + y sin(t);when x = 0, y = 2, t = 2

asked by Ramesh on October 10, 2011

f(x,y)=x^2 e^2x lny (2,1) I need to find the partial derivatives with respect to x and y. I have not idea how to do this especially with the (2,1).

asked by Hannah on April 29, 2011
51. math

find the derivatives, dy/dx for the folowing function : y=ln(cos(0.5)+(sin(x^2+3))^1/3)

asked by deel on August 25, 2012
52. calculus

Just doing example questions to better understand. Find all first and second partial derivatives for the function u= xy^2+x^2y

asked by Todd on April 23, 2012
53. maths

find the maximum valu of any of the function without using derivatives 16x+8x+7

asked by sandeep on June 26, 2014
54. Calculus AB/BC

What's the purpose of finding derivatives? I don't understand why you would need to find a derivative, which is the tangent of the slope of a point on a graph, to find something like "How far did Bob fall". Confusing. Please help. Thank you!

asked by Dave on November 2, 2017
55. Calc 3

Find all partial derivatives? v = (xy)/(x-y) vxx= vxy= vyx= vyy=

asked by Becky on September 20, 2012
56. math

find the derivatives, dy/dx, for the following functions : y=(1+sin^2{2 exp (3x)})^5y please help me to solve this assignment. thank's

asked by deel on August 20, 2012
57. Pre Calc

f(x,y)=ln(5x^2-7y^3) Find ALL 2nd derivatives. fxx,fxy,fyx,fyy

asked by Sara on December 10, 2010
58. calc 3

Find all partial derivatives? v = (xy)/(x-y) vxx= vxy= vyx= vyy=

asked by Becky on September 19, 2012
59. Math

Find the derivative of: ln(2x/x+1) the answer is 1/x(x+1) but i can't seem to solve it that far. ln [2x/(x+1)] = ln 2 + ln (x) - ln(x+1) Add the derivatives of each term and you get 1/x - 1/(x+1) = [(x+1) - x]/[x(x+1)] = 1/[x(x+1)]

asked by Freddy on March 18, 2007
60. Calculus

Find a formula for the derivatives of the function m(x)=1/(x+1) Please help.....Any assistance would be greatly appreciated.

asked by George on September 12, 2008
61. Calc.

How do I deal with square roots and derivatives? Like: f(x)= Sqrtx....the derivative. find

asked by Derek on July 16, 2008
62. calculus

find the following derivatives: f(x) = (2x+5)/(x^2-3) f'(x)= (2)*(x^2 -3)-(2x+5)*2x/(x^2-3)^2 is that correct??? f(x)= (lnx)(cos x) f'(x)= 1/x*-sinx or do i have to use the product rule?? thank you.

asked by Dan on November 9, 2008
63. Calculus

Find the derivatives of the function f(t)=cosh^2(4t)-sinh^2(4t). Simplify your answer completely.

asked by Mike on March 3, 2013
64. CALC

find the following derivatives: f(x) = (2x+5)/(x^2-3) f'(x)= (2)*(x^2 -3)-(2x+5)*2x/(x^2-3)^2 is that correct??? f(x)= (lnx)(cos x) f'(x)= 1/x*-sinx or do i have to use the product rule?? thank you.

asked by Dan on November 9, 2008
65. Calc/Precalc

Find the derivatives of 1. ln[(2x^3⋅2e^x)] 2. xy = cot(xy) 3. y = cos(x^3 + 27) I don't really know where to start with these. The answer is (3+x)/(x) for the first, y/-x for the second, and 35. -3x^2 sin(x^3 + 27) but I have no idea how they got there.

asked by Heather on May 7, 2015
66. math (8)

Find the second-order partial derivatives of the function. f(x,y) = x^5 + x^2y^2 + y^4 + x + y a. fxx = ? b. fyy = ? c. fxy = ? d. fyx = ?

asked by Mia on April 30, 2014
67. Maths

Find the derivatives of these: f(x)=(√(x))sinPix Also: f(x)=√(Cosx+sinx) Steps would be greatly helpful as I will be able to use them as reference. Thank you.

asked by Alexis on November 13, 2012
68. math (7)

Find the second-order partial derivatives of the function. f(x,y) = x^5 + x^2y + x + 5 a. fxx = ? b. fyy = ? c. fxy = ? d. fyx = ?

asked by Mia on April 30, 2014
69. largest possible area

Again from applications of derivatives.. what is the largest possible area for a right triangle whose hypotneus is 5cm long, and what are its dimensions. Thanks a^2 + b^2 = c^2 3^2 + 4^2 = 5^2 Area of a triangle 1/2 base times altitude hint: base is 3

asked by Jen on November 18, 2006
70. Calculus AB

Evaluate the following derivatives at the given points. Find the equation of the line tangent at each point. a) f(x)=ln(secx) @ x=pi/3 b) f(x)=(root(x+1))/(x-1) @ x=0

asked by ireallyneedhelp on December 16, 2010
71. Calculus

Hi, I am trying to find a closed form for the power series from n=2 to infinity of x^n/(n-1)n. I'm not really sure how to do this- I found the first and second derivatives which were x^(n-1)/(n-1) and x^n-2. However, this didnt really seem to help much.

asked by Kira on August 2, 2017
72. math/ calculus

full work out with explanation of this problem please we're working with derivatives and i don't understand it given h(x)= cotx/x find h'(pi/2)

asked by Angie on December 20, 2011
73. Calculus

Find the derivatives of the function k(x)=sqrt(sin(2x))^3 I think I have the answer and was wondering if i had it correct k'(x)=2sin(x)^3+8sin(x)

asked by Joe on February 11, 2013
74. Calculus grade 12

a) determine the derivative of y = sin2x b) determine the derivative of y = 2SinxCosx c) shoe that derivatives in parts a) and b) are equal d) explain why derivatives in parts a) and be should be equal.

asked by Julie on April 12, 2012
75. cal

Finding Partial Derivatives Implicitly. Find dz/dx and dz/dy for 3x^(2)z-x^(2)y^(2)+2z^(3)+3yz-5=0 How would you type this in wolfram alpha calcultor to get the answer? Thanks,

asked by jay on March 15, 2014
76. Calculus Derivative- Taylor Series?

let f(x)= x/x-1 find f'(x) f ''(x) and a formula for f ^ (n) * x. I found the first and second derivatives but do not know how to make a general equation for this. I have not learnt the Taylor or Maclaurin Series either. Thank you.

asked by Lisa on March 10, 2013
77. calculus

Find a function f such that the curve y = f(x) satisfies y'' = 12x, passes through the point (0,1), and has a horizontal tangent there. I can use the anti-derivatives to get y = 2x^3 + Cx + D but I don't know how to get C even though I know D = 1.

asked by asdf on November 29, 2012
78. calculus

let f be the function f(x) = e^(2x^2) find the first four nonzero terms and the general term of the power series for f(x) about x = 0 i tried doing this problem but finding the derivatives gets way too complicated can anyone help??

asked by Anonymous on March 24, 2008
79. engineering mathematic

give that z = f(x,y). use partial derivatives to find δz/δx and δz/δy for xe^xz + z(xy+1)^3-sin x cos^2y=xy/z present your final answer in the simplest form.. please solve this problem....tq

asked by waklu on March 15, 2011
80. 2nd Order linear ODEs

I'm having trouble solving this problem: For the equation x^(2)y′′ - xy′ = 0 , find two solutions, show that they are linearly independent and find the general solution. Hint: Try y = x^(r). I divided the equation by x^(2) first to simplify it, and

asked by Student on January 30, 2014
81. math

so i am in precalculus, we need to graph the fuction using derivatives, maxima, intercepts and concavity. I am having trouble factoring cubics: for example: x^4-4x^3+16x --> x(x^3-4x^2+16)Now what? That is without calculator, how do you find the roots?

asked by kathy on May 4, 2011
82. Calculus

Evaluate the derivatives by implicit differentiation. Assume all letters represent constants, except for the independent and dependent variables occurring in the derivative. 𝑃𝑉^𝑐=𝑛𝑅𝑇 Find dP/dV

asked by Person on September 16, 2019
83. Calculus

A curve is defined by the parametric equations: x = t2 – t and y = t3 – 3t Find the coordinates of the point(s) on the curve for which the normal to the curve is parallel to the y-axis. You must use calculus and clearly show your working, including any

asked by Daksh on July 18, 2014
84. math

Find the first and second derivative of the function y=f(x)=x^3/(1-(x^2)) Use the information about the derivatives to determine any local maxima and minima, regions where the curve iss concave up or down, and any inflection points

asked by ravinder on November 22, 2012
85. Calculus

Find the first partial derivatives and evaluate each at the given point. Function w = 2x^2y − 6xyz + 10yz^2 Point (2, 5, −3) wx(2, 5, −3) = wy(2, 5, −3) = wz(2, 5, −3) =

asked by akash on November 17, 2015
86. Calculus

Find the first partial derivatives and evaluate each at the given point. Function w = sqrt(5x^2 + y^2 − 4z^2) Point (2, −4, 2) wx(2, −4, 2) = wy(2, −4, 2) = wz(2, −4, 2) =

asked by Calculus Help on November 17, 2015
87. Math

suppose u and v are functions of x that are differentiable at x=2 and that u(2) =3, u'(2) = -4, v(2) = 1, and v'(2) find values of derivatives at x = 2 (d/dx)(uv) = ? I would like to know how to set this up because I'm only used to getting problems that

asked by Amy on November 1, 2011
88. Calculus

Find the four second partial derivatives and evaluate each at the given point. Function f(x, y) = x^3 + 2xy^3 − 9y Point (9, 2) fxx(9, 2) = fxy(9, 2) = fyx(9, 2) = fyy(9, 2) =

asked by Calculus Help on November 17, 2015
89. Math

How do you find decreasing intervals of 6x^3-63x^2-144x-2? I found my increasing intervals from placing the derivatives i just can't seem to solve for the decrease

asked by Alessandra on November 4, 2014
90. calculus

PLEASE HELP Find the first and second derivatives of the function. y = e^8ex. I keep getting y' = e^8ex * 8 and its wrong. how do you do this?

asked by nic on February 6, 2011
91. derivative

find the first and second derivatives of (Ax^2+Bx+c)e^(3x) should i distribute e^3x into the prenthesis? or is there an easy way.... b/c when i distribute it i get a long answer..... for i get yp'=2Axe^3x+e^3xAx^2+Be^3x+e^3xBx+e^3x+ce^3x is that

asked by mary on November 19, 2008
92. calculus - derivatives

can you please find the first 5 derivatives for: f(x) = (0.5e^x)-(0.5e^-x) f'(x) = ? f''(x) = ? f'''(x) = ? f''''(x) = ? f'''''(x) = ? thanks :) f(x) = (0.5e^x)-(0.5e^-x) f'(x) = 0.5 e^x + 0.5 e^-x f''(x) = 0.5 e^x - 0.5 e^-x f'''(x) = 0.5 e^x + 0.5 e^-x

asked by COFFEE on July 30, 2007
93. Math

) Suppose that z=f(x,y)z=f(x,y) is defined implicitly by an equation of the form F(x,y,z)=0F(x,y,z)=0. Find formulas for the partial derivatives ∂f∂x∂f∂x and ∂f∂y∂f∂y in terms of F1,F2,F3F1,F2,F3. To enter your answer use F1, F2, F3 as the

asked by Usman on April 9, 2017
94. Calculus

a) Find d/dm (x^4m^5 + y^3m +z^6) b) Find the first and second derivatives of: v = 3t^2 + 8t + 11 v' = v'' =

asked by Arin on February 5, 2015
95. Math - Calculus

Problem solving with derivatives. Question: A piece of wire length of 30cm is cut into 2 sections. Each section is then bent into the shape of a square. Find the smallest possible value of the sum of the areas of the two squares.

asked by GZB on July 6, 2018
96. Calculus

How do I solve this problem without integrals or derivatives? Find the distance traveled in 14 seconds by an object that is moving with a velocity of v(t) = 11 + 6cos t feet per second. A. 154.8204 B. 156.1704 C. 159.9436

asked by Anonymous on September 8, 2016
97. Calculus

With y=f(x) (2x-10)^1/2 having a virtual line joined at point Q from the origin (0,0), determine the coordinates of point Q that maximises the angle of vision of an observer, situated at the origin, following the movement of point Q along the curve. Note

asked by Jim on November 15, 2011
98. calc

Find the derivatives of the following functions using the differentiation rules. f(x)=(x^3-2x^2+x+1)(sqrt(x)-3x+9) I did: f'(x)=[x^3-2x^2+x+1][(1/2x^(-1/2)-3]+[x^(1/2)-3x+9][3x^2-4x+1] which I got to be

asked by Anna on September 27, 2010
99. Calculus

Find the derivatives of the function f(y)= sinh(sinh(7y).

asked by Jake on October 9, 2012
100. Calculus

find the derivatives of the given functions. g(t)=sqrt t(1+t)/t^2 the sqrt is just over t.

asked by Mike on February 4, 2013