72,584 results

Let y=x^5 - pi^5. Find dy/dx My answer is 5x^4 because pi^5 becomes 0? Am I correct?

### 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

### 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

### Derivatives

Find the derivative of the following questions; ³√2t/(t^2-4) Every thing is under the ³√ and the / is a fraction bar. My answer is y'= t(2t)^3 Can you check my answer please

### Derivatives

Find the derivatives of: 1. H(x)= sin2xcos2x The answer given is 2cos4x. My question is, how in the world did they get that!? Shouldn't the answer at least contain the sin function, either negative or positive seeing as it's the derivative of cos? Also, which rules are ...

### calculus

I am learning derivatives and I despise having to use the definition of the derivative. Please check my answer for this particular one! it is different from the one I get by differentiating. The question: f(x) = 2+x / x^3 my answer: -6x^2-2x^2

### check my work on derivatives

Can someone check my work? So, I took the derivative of (1-x^2)/((1+x^2)^2) I used the quotient rule ((2x((1+x^2)^2)-2((1+x^2)^2)(2x)(1-x^2))) / ((1+x^2)^4) Then I simplified it (2x+2x^2 - 4x((1+x^2)^2)(1-x^2)) /((1+x^2)^4) Then I simplified by factoring out some numbers 2x(x^...

### Math help/check

Suppose the functions f and g and their derivatives have the following values at x = 1 and x = 2. Let h(x) = f(g(x)). Evaluate h′(1). X | f(x) G(x) f'(x) g'(x) ____________________________ 1 | 8 2 1/3 -3 2 | 3 -4 2π 5 My answer: -6π

### derivatives

Applications of derivatives A rectangle has its base on the x axis and its upper two vertices on the parabola y=12 - x^2. What is the largest area the rectangle can have, and what are its dimensions. Support your answer graphically. Thanks. Well, the parabola is symettric ...

### Derivatives

Can you help me find the derivative of these problems...Every time I try doing these I don't get the right answer. All of these are fractions; (x)/(2+x)= (x^2+3)/(x^3-2)= (2π)/(x^2-x)= These are not fractions; (3x^3/2 tanx)= (3x^1/2 sinx)= (4secx tanx)= (x^2 cotx)= (x^1/2...

### Calculus

Find the derivatives of the following 18. y=〖cos〗^4 x^4 ANSWER: tanx2 19. y= sinx/(1+ 〖cos〗^2 x) ANSWER: 3sinx 20. y=sinx(sinx+cosx) ANSWER: sinx Can you check my answers?

### Derivatives check

find the 2nd derivative of y= 1/x +cosxsinx I got 2/x^3 - 2cosxsinx is this right or did I get this wrong

### 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

### Math - Calculus 1

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

### Calculus: Derivatives

I'm having trouble understanding what derivatives in calculus (instantaneous speed) is. Can someone please explain it to me, or provide some easy links to learn from? Thanks!

### 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, which I know can be ...

### Calculus (Derivatives)

What is the derivative of the this functon? g(x) = -500/x, x cannot equal 0. I know that in order to fnd the derivative I need to put the function into the equation for evaluating derivatives as limits. lim as h -> 0 (f(x+h) - f(x))/h I did this, but I am having ...

### 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 f''''(x) = 0.5 e^x - 0...

### Calculus-derivatives

Verify these answers~ 1. For what value(s) of x does f(x)=(x^2-16)^5 have a horizontal tangent? a) x=-4,4 b) x=-4,0,4 c) x=0 d) x=0,4 Answer is B, x=-4,0,4 --------------------------------------- 2. What is the derivative of f(x)=(3x^2+7)^3? a) f'(x)=3(3x^2+7)^2 b) f'(x)=18(3x...

### Math 8R: Homework Check - Part 2

Part 2: Simplify by combining like terms and using the distributive property 11. 3x + 5x Answer: 8x 12. 3x + 5y - 2x + 8, Answer: 1x + 5y + 8 13. 9 + 5m + 6b - 2m - 4, Answer: 3m + 5 + 6b 14. 3ab + 6c - ab + 10 - 2c, Answer: 2ab + 4c + 10 15. 6(m+3), Answer: 6m + 18 16. 8(x-2...

### Calculus

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

### Derivatives

Find dy/dx for the function, xy-x-12y-3=0. Is the answer -14,I got this from 1-1-12=0, which solves to -14.

### 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 my question. Do I need...

### math derivatives

An architect is designing a rectangular building in which the front wall costs twice as much per linear metre as the other 3 walls. The building is to cover 1350 m2. What dimensions must it have so that the costs of the walls is a minimum? write a formula using derivatives

### Calculus/Derivatives

In addition, can you walk me through how to get the derivatives for these 2 statements, too? a) y = x^5/3 - 5x^2/3 b) y = (the cubed root of the quantity) [(x^2 - 1)^2] Hi there. I need to find the first derivative of this statement. y=x(x+2)^3 I tried the chain rule, but I ...

### 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)]

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.

### 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 outside and inside.

### math check

Peform each indicated operation and simplify. Can you please check my answers. Thank you. A)(x^2+2x-3)+ (2x^2-x+1) Answer: 3x^2+x-2 B) (-x^3+2x^2-5)+(x^2-x+6) Answer:-x^3+3x^2-x+1 C) (3y^2-x+7)-(y^2-2x+3) Answer:4y^2-3x+10 D)(2x^2-xy+y^2)-(-3x^2+xy+y^2) Can you help me with ...

Find the length of the 3rd side of each right triangle. 1. 8^2+15^2=c^2 Answer: c=17 2. 5^2+b^2=13^2 Answer: b=12 3. 9^2+13^2=c^2 Answer: c~15.81 Simplify. Assume that all variables are nonnegative. { this means square root 4. {12 Answer: 2{3 5. 2{75 Answer: 10{3 6. -3{72 ...

### 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,

### 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)

### 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)

### Math

Hi, would someone mind just checking the answer I got for this formula and tell me if I'm on the right track or not. Question... x+y=21 3x=4y Answer I got... x=84 y= -63 I didn't get that. Check your math. I found 7y=63 but not y = 63. You can always check your answer. Is 4X...

### Calculus - First Derivatives

Find K'. Y = K^(0.25) * L^(0.75).... relates to Cobbs-Douglas function (dL/dK) = 0.25 (K/L)^(0.25) I got to this.... but answer is... (dL/dK) = 0.25 Y/L <--- Please provide a full solution (all steps..) to get to this....

### Math: Derivatives

Use the shortcut rules to mentally calculate the derivative of the given function f(x) = −x + (3/x) + 1 After deriving it, I got -1+(0/1)+0= -1 But this answer is wrong, and I don't know why. Thank You

### 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. Thank you!

### Math-Derivatives.

if y=sec^(3)2x, then dy/dx= my answer is 6 sec^3 2xtan 2x but im not sure if that is right. ? Can someone show me if i did it correct.

### 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' = [4(x+1)^(1/2)-4x]/[2(x+1)^(1/2)(x+1)] y' = (2-4x)/(x+...

### Class 12th Application of Derivatives

Find a point on the parabola y = (x-4)^2, where the tangent is parallel to the chord joining (4,0) and (5,1). Solve this question using Lagrange's theorem. Answer is (9/2,1/4)

### AP Calc for Reiny

You did just fine and your second derivative is correct, if you meant (6y^2 - 4x^2)/(9y^3) except they took it a bit further. notice your numerator is -4x^2 + 6y^2 from the original 2x^2 - 3y^2 = 4 , then 4x^2 - 6y^2 = 8 , and -4x^2 + 6y^2 = -8 to get their -8/9y^3 If you were...

### AP Calc for Reiny

You did just fine and your second derivative is correct, if you meant (6y^2 - 4x^2)/(9y^3) except they took it a bit further. notice your numerator is -4x^2 + 6y^2 from the original 2x^2 - 3y^2 = 4 , then 4x^2 - 6y^2 = 8 , and -4x^2 + 6y^2 = -8 to get their -8/9y^3 If you were...

### Math(Urgent)

Differentiate. g(x)=(x^3+1)(3x^2-1) I know that the answer is 15x^4-3x^2+6x but I donot know how to get to this. I was using g'(x) X h(x) + g(x) X h'(x) and I was using the derivatives 3x^2 and 6x but I guess this is wrong. Please help!! Thank you.

### Partial Derivatives

How do you take the partial derivative of y = (1200z1z2)^1/2 in respect to z1. Please note z1 and z2 are variables. f'z1 = (1200^1/2)(z1^1/2)(z2^1/2) f'z1 = ?? the answer is... f'z1 = ((1200^1/2)(z2^1/2))/((2(z1^1/2)) but I do not know how to get this answer. Please help me by...

### derivatives

Compute f '(a) algebraically for the given value of a. HINT [See Example 1.] f(x) = −2x + 2; a = −5 f '(a) = 1Your answer is incorrect.

### Calculus Partial Derivatives

Problem: Find dimensions of a box that provide the greatest volume when the length plus the girth cannot exceed six feet. I tried 2w+2h+l=6, l=6-2w-2h, but couldn't get to w=1, h=1, l=2, which is the correct answer.

### SCI HW CHECK

D. Name the joint shown in each picture 1. Elmbow answer - Antecubital fossa. 2. wrist answer - carpal 3. shoulder answer - glenohumeral 4. neck vertebras answer - ????????????????? what is the joint in your neck vertebrae called?????????? can you check to see if im correct

### Science HW Check

D. Name the joint shown in each picture 1. Elmbow answer - Antecubital fossa. 2. wrist answer - carpal 3. shoulder answer - glenohumeral 4. neck vertebras answer - ????????????????? what is the joint in your neck vertebrae called?????????? can you check to see if im correct

### Math 8R: Homework Check - Part 3

Part 3 : Evaluate when x = -2, y = 5 21. 4x + 2y, Answer: 2 22. 3(x) *to the 3rd power*, Answer: -221 23. (x + y) *to the 2nd power*, Answer: 9 24. -4x + 2y, Answer: 18 Please check to see if my answers are correct. Thank You!!! :)

### Calculus Can you help

Suppose the functions f and g and their derivatives have the following values at x = 1 and x = 2. Let h(x) = f(g(x)). Evaluate h′(1). X | f(x) G(x) f'(x) g'(x) ____________________________ 1 | 8 2 1/3 -3 2 | 3 -4 2π 5 My answer: -6π but I'm not really sure if I...

### Calculus

What is wrong with the following reasoning??? f(x) = 2^x f'(x) = x[2^(x-1)] Although n x^(n-1) is the derivative of x^n, you cannot apply similar rules when x is the exponent and the number being raised to a power is a constant. The derivative of b^x, where b is a constant, is...

### math

solve and check your answer. Please check this for me to see if I have the right answer. __2__ = __3__ 1-x 1+x x= 1/5

### MATH: Check my answers | HELP ASAP!!

What is the diameter of a circle with a circumference of 282.6 m? Round your answer to the nearest meter. 4.5 m 9 m 90 m##### 45 m Check my answer please.

### 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 partial derviatives ...

Write each expression in simplest form. ( means square root 4. 3(11 + 4(11 Answer: 8(11 7. 7(2 - 2(8 Answer: 1(2 ?? 8. (48 + (75 Answer: 9(3 9.(3(10) Answer: 19 + 6ã10 10. (27/64 (Fractions) Answer: 3(3/8 ?? 11. 10(20 - 3(80 Answer: 10(5 12. (6/49 (Fractions) ...

### 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 want the d/dx given ex...

### Accounting

A check returned by a bank because the issuer's cash account balance could not cover the check is called a(n): a. Cancelled check b. Certified check c. Outstanding check d. NSF check

. You've written a check to Goodwill Supply, and the check has been lost. What should you do? A. Stop payment on the first check; then write a second one. B. Send a counter check to Goodwill. C. Write another check immediately. D. Call Goodwill and tell them you'll write ...

### 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 set them up for the ...

### 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 set them up for the ...

### 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 set them up for the ...

Please check my answer thanks :) Add the following and reduce answer to lowest terms. 1/3 +5/6 + and 3/8 ----------------------- 1/3 = 8/24 5/6 = 20/24 5/6 = 9/24 -------------- 37/24 = 1 13/24

### math

how would I check this on my own? I know you put numbers in the place of the letters but when I do that I come up with my moms answer. this is what i have when I check my work. p=-2 q=3 6*(-2)*3 =-36 but 3(-2)(-2*3)=36 could you tell me what i'm doing wrong when I check them ...

### calculus

find f'(x) for the following: f(x)= cos^5(4x-19) I keep getting 20cos^4(4x-19)sin, but the answer is supposed to be -20cos^4(4x-19)sin(4x-19). I can't seem to get there with derivatives

### 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 correct...please help me.... ...

### Calc B/C

The common external tangents to the graphs for (x+1)^2+y^2=1 and (x-2)^2+y^2=4 are drawn. Find the slope of the tangent line that has a positive slope. I tried finding the derivatives and setting them equal to each other, but that didn't give me an answer. Please help!

### Math Check

Can someone check this for me? Thanks! Directions: Two integers from 1 through 40 are chosen by a random number generator. Write your answer as a fraction in simplest form a/b. P(both numbers are less than 30) (my answer: 9/16)

### calculus BC slope

consider the curve in xy-plane by x=e^t and y=te^(-t) for t is greater or equal to o. the slope of the line tangent to the curve at the point where x=3. all the answer choices are decimal points. a is 20.086, b is .342, c is -.005, d is -.011 and e is -.033 so what i did is ...

### Math: law of exponents check answers

I know that anything to the power of 0 is 1 but I need help with these 2 questions and check my answers: (xy)^0 / (z^2a^1)= (-2mn^2)^1 / (pqm)^0= (xy^2z)^0= 1? Negative Exponents: it says to leave answers with positive exponents only, I did all these questions so please check ...

### cal3

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

### calc again!

i got answers for this one, but i feel like i did something wrong. f(x)= 2x+1 when x is less than or equal to 2 (1/2)x^2 + k when x is greater than 2 1) what value of k will make f continuous at x = 2? my answer: i got k = 3 because it would make the two parts of the function ...

Change each decimal to a fraction in lowest terms. 1) 0.4242.... Answer: 14/33 2)0.58 Answer: 29/50 3)0.14 (Repeating sign over both numbers) Answer: 14/99 Write each expression in simplest form. ( means that it is inside a square root. 1. (54 Answer: 3(6 2. (98 Answer:(14*(7 ...

### CALCULUS DERIVATIVES CONTINUITY

Let f be the function defined by the piecewise function: f(x) = x^3 for x less than or equal to 0 x for x greater than 0 Which of the following is true? a) f is an odd function b) f is discontinuous at x=0 c) f has a relative maximum d) f'(0) = 0 e) f'(x) > 0 for (x is not ...

### maths

1. Q: 2|3x-5| when x=(-3) A: 24 2. Q: |6-x|+4 when x=5 A: 5 _______________ Simplify the expression. 1. (-4)(-x)(x^2) my answer: 4x^3 2. (24)(-5x)(-x) my answer: 120x^2 3. -x(4-x) my answer: -4x-x 4. -4t(t+2) my answer: -4t^2+(-6t) 5. b^2(4-b^2) my answer: 4b^2-b^4 6. (c+3c^2...

### Math 8R: Homework Check - Part 4

Part 4: Translate and solve: 25. 6 less than twice a number is ten Answer : 2n - 6 = 10 (answer: n = 8) 26. The quotient of a number and 4 plus 3 is 8 Answer: n/4 + 3 = 8 (answer: n = 29) 27. 4 less than three times a number is -28 Answer: 3n - 4 = -28 (answer: n = -8) 28. ...

Please check my answer thank you :) Dr Hannah places a stethoscope to a seven - year old child's chest. The lungs reveal basilar rales. Which method is Dr Hannah using to perform the physical exam? A. Auscultation B. Palpation C. Percussion D. Visualization My answer is C

Please check my answer thank you Cardiology is the study of the heart. Which of the following terms describes the foundation upon which the medical word is built that usually relates to the body organ involved ? A. Prefix B. Suffix C. Root D. Combining form My answer is Root (c)

### 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

### Math

Q. When your doing a multiplication problem, for example 84 times 37 = 3,108, how do you check the answer without a calculator? - A. I'm kinda confused on how to check the answer, do i do 84 times 400??

Please check my answer thank you Verifying the accuracy of HCPCS codes is an important function in what ? I think that it is maintence of chargemasters

Please check my answer thanks True or Faslse The term used to describe why medical treatment is necessary is procedure I say False

please check my answer :) The monthly payment of a \$100,000 mortgage at a rate of 8 1/2 % for 20 years is 8678.23

### algebra

Check this problem for me do I have negative sign right with the answer. -1(-1)+-5-5=-2/-10==-1/5 the one on top and the -1(-1) and on the bottom is -5-5. so check this answer for me. Please, Please

### algebra

Check this problem for me do I have negative sign right with the answer. -1(-1)+-5-5=-2/-10==-1/5 the one on top and the -1(-1) and on the bottom is -5-5. so check this answer for me. Please, Please

Please help with the following: How does sleet differ from snow? A. It is not a form of precipitation. B. It is liquid and not ice. C. It starts as rain and freezes in the air. D. It starts as water vapor and changes to a solid. I know that answer is not D because I got it ...

Question: Calculate the frequency of the AA, Aa, and aa genotypes after one generation if the initial population consists of 0.2 AA, 0.6 Aa, and 0.2 aa. What I have done is: P = (0.2)+(0.5)(0.6)= 0.50 q = 1-p = 1 - 0.50 = 0.50 Can someone check my answer plz.

Question: Calculate the frequency of the AA, Aa, and aa genotypes after one generation if the initial population consists of 0.2 AA, 0.6 Aa, and 0.2 aa. What I have done is: P = (0.2)+(0.5)(0.6)= 0.50 q = 1-p = 1 - 0.50 = 0.50 Can someone check my answer plz.

please check to see if I have the right answer thank you The patient had a radiogram performed. What doed the root word indicate I think it's b

### check math

Could you please check my answers we are using substitution to solve each system of equations. And at the end of every solution you are supposed to have an answer as a coordinate. 1. x=2y x+y=3 Answer (1,2) 2. 2y=3 x-y=10 Answer: (10,10) 3. y=x+7 x+2y= -21 Answer: (-3,-4) 4. ...

### Calculus

Could someone please check my work on the following problems? I want to be sure that I'm doing them correctly; i'm just required to find the derivatives and then simplify. g(t)= t/sint g'(t)=1*sint-cost*t/(sint)^2 g'(t)=sint-cost*t/(sint)^2 y=ln(e^ax) y'=1/e^ax*e^x*a and i'm ...