Use the product rule to find the derivative of the following. P(Y) = (y¯1 + y-2) (2y -3-7y4) %3D p'(y) =D

Q: Find the derivative of the function y=(ex−1)(ex+2) and calculate its value at x=0.

A: Differentiating with respect to x, we get

Q: Find the 2nd derivative of y with respect to x : y=xe^2x

A:

Q: Find the derivative of the given function. y = V3x dy dx

A: Given: y=3x4 To find: dydx

Q: Calculate the derivative of y with respect to x. xe' = 3xy + 5y dy dx

A: We have to find

Q: Can you help me with this problem step by step?

A: Consider the given equation:

Q: - 9x Find the derivative of y with respect to x if y = e dy %3D dx

A:

Q: Find the derivative of the function below. y = 5x sin- x + V 16 - x² dy dx II

A: here is the important formulae which is  used to the given problem: 1) d(xn)dx=nxn-12) d…

Q: Find the derivative of y with respect to s. y%3Dsec -1 (2s4 + 7) dy ds

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Q: Find the derivative of y with respect to x for y = 7*. dy dx II

A:

Q: Find the derivative of the function. y = 2e Vx %3D

A: Given y=2e√x

Q: Find the derivative of y with respect to x. Y=ln(13x)+x dy/dx

A:

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 16) y = (x2 - 2x + 1) eX B) (x2…

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Q: Find the derivative of y with respect to x. y = (6x + 5)* dy dx II

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Q: Can i get help step by step please

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Q: Find the derivative of y = x³. dy/dx = 4x

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Q: 7)y= 2e* +2x -2.x

A: we have to find the first derivative of y

Q: Find the derivative of y with respect to x if y = e¯1X. dy dx II

A:

Q: Find the derivative of the function y = 7-9x. dy dx

A:

Q: Can i get help step by step please

A: We have to use the formula: with a=11

Q: Can you help me step by step with this problem?

A: Obtain the derivative of the given function as follows.

Q: Find the derivative of y = 33-22 dy de 画

A:

Q: Find the derivative of the function. 1 y = 4/x +3x dy dx |00 %3D

A: Use formulas of derivatives to find dy/dx

Q: Find the derivative of the function using the Power Rule for Functions. y = (x² + 6)²(4x³ – 1)3 dy…

A: Y'= ?

Q: Find the derivative of y with respect to t.   y=t(ln2t)^(2)

A:

Q: Calculate the derivative of the function y(x) given by the equation x2+2xy+2y2=1 under condition…

A: For y=1 we find x

Q: Find the derivative of y with respect to t. y = t(In 1t)2

A: The given function,  y=t ln 1t2

Q: Find the derivative of y=√x(x+9)   dy/dx=

A:

Q: Find the derivative of the function.

A: Given: y=∫2x3x+1sint4dt

Q: Calculate the derivative of y with respect to x, if ²y+ 2xy = x + y. dy dx ||

A:

Q: Find the derivative of the given function. y= 5x (1-3x)5 dy dx

A:

Q: Find the derivative of the function y = (4x + 5)°(5x + 1)~ª. dy dx II

A: For the solution of the problem follow the next step.

Q: Find the derivative of y with respect to x.

A: Given:The function

Q: Find the derivative of the function. y = 3x 8 * - 12x - dy dx II

A: Explanation of the answer is as follows

Q: Calculate the derivative of y with respect to x, if x^4y+4xy^4 =x+y. dy/dx =

A:

Q: can you help me step by step with this problem?

A: Please see the white board. Let's differentiate both sides with resepct to x.Recall that:d(cosx)/dx…

Q: Find the indicated derivative of the function. d³y for y = 3x sin x

A:

Q: Find the derivative of y with respect to x. - 4x y = (3 + 12x) e dy %3D dx

A: Given function is

Q: Find the indicated derivative of the function.   d^2y/dx^2 for y = 4x sin x

A:

Q: Calculate the derivative of the following function. 3. 9X y3D 4x+1 dy dx

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Q: What is the derivative of y = x3/x3 with respect to x? [(dy)/(dx)] =

A:

Q: Calculate the derivative of the following function. y = (7x-8) dy dx

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Q: Find the derivative of y with respect to the given independent variable. e* cos' x (1) y= x+1

A:

Q: - 18x Find the derivative of y with respect to x if y = e dy %3D dx

A: We have to find the derivative

Q: Find the derivative of y with respect to x.   Y=lnx /3+2ln x   dy/dx=___________

A:

Q: Find the derivative of y with respect to x. y = (9x + 7)* dy dx

A:

Q: Find the derivative of the function. y = 4x e –6x – 3 ex - 3e dy dx

A: We have to solve the problem

Q: Find the derivative of the function. y = sin ( r2 + 1 )

A: Our Aim is to find the derivative of the function given below:-y=sin (r2+1) -(i)