Calculate the derivative. z = 3x2 + 1 dz dx Ix = -2 ||

Q: Find the derivative of the function 1 4. y= 4x +8x dy

A:

Q: Find the derivative of the function. Y=3xe-3x-ex^4   dy/dx=

A: given:

Q: Compute the derivative: d 4 dx x2 5 x=1 The derivative is:

A: The solution of the problem is given in the next step.

Q: Find the derivative of the function.

A: The given function is y=xx4+4.

Q: Find the derivative of the function. 4x +6 y-D y'3D

A:

Q: find the derivative of the function y=-5(8x^2+7)^-6 dy/dx=___?

A: Given function is :  y = -5(8x2 + 7)-6

Q: Find the derivative of the function. y=-5e-4x+1 dx 11

A:

Q: Use the quotient rule to find the derivative of the function. * + 4 X-9 dy dx I3D

A: This question is related to differentiation, we will use quotient rule to solve it.

Q: Find the derivative of the function. y = V 3 + 8e6x

A: To find the derivative of given function.

Q: Find the derivative of y = 8x® + 5ª + 21. dy dx ||

A:

Q: Find the derivative of the given function. y= 2x- 13x +35x +5 dy 口 dx %3D

A:

Q: Find the derivative of the function. F(t) = est sin(2t)

A: Use the chain rule of derivative and simplify.

Q: Z = 1+x2 ; d'z/dx?

A: Given: Z = 21+x2 To find: The derivative, d2 Zdx2 in simplified form.

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

A:

Q: Find the derivative of the function = ex? y =

A: y=ex7

Q: Find the derivative of the function. y = (x + 1)2ex

A: The given function is y=x+12ex

Q: Find the derivative. y = In /x+7 y' = D

A:

Q: Find the derivative. d (Wx+Vx) =] dx

A: Differentiate wrt x

Q: Find the derivative. dy if y(x) = /x2 + 10 dx %3D

A: y(x)=x2+10

Q: Compute the derivatives. Use the fact that e2+x = e2 . ex to find d/dx (ex+2).

A: ddxex+2

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

A:

Q: Find the third derivative of the function: Y = =+ VX3 %3D

A: To find the third derivative of the function: y=1x+x3

Q: Find the derivative of the function. 1 6 y = 4x +8x dy %3D dx

A:

Q: Find the derivative of y=arcsinx with respect to x || 3x? b. V1-x 1 3x2 1 а. С. d. .6

A:

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

A:

Q: Find the derivative of the function. y=-6(8x+8)-6 dy/dx=

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: Calculate the derivative indicated. d'y 1 + 7x2 where dx2 \x=6 Y = 2- x3

A:

Q: Find the derivative of the function. 9x g(x) = [™ cos(r³]ct Cosx

A:

Q: Find the derivative of the given function. y= 6x (7-6x)6 dy dx

A:

Q: Find the derivative. y = In /x+5 y' =D

A:

Q: Find the derivative of f (y) = 4 sin? (y4). %3D

A:

Q: Find the derivative of the function. 8. 6. y%D +-+5 3 4 dy %D dx

A: Using rules & standard formulas of derivatives

Q: Find the indicated derivative. y = x1.5 / 3 - x0.3 / 2     ; dy/dx

A: Given Data The equation is y=(x1.5/3)-(x0.3/2).     Differentiate the given equation…

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: The derivative of the function y = 2* sec(x²) is:

A: I use product rule and chain rule to solve this derivative

Q: Find the derivative of the function x3 y = / 9vi sin(?) dt. %3D

A:

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x³-5x)* 1. у3D ; d'y/dx³

A:

Q: Find the derivative of the function. -Vx? y = + 36 6 + Vx2 + 36 1 In 36 6x2

A:

Q: 3. y = Vx*

A:

Q: Find the derivative of the function. y = 5x 9. 3 - 13x - ヤ dx

A: y=5x3-13x-9x7

Q: Find the derivative of the function. -2 y 14x-6x-9x dy dx

A:

Q: By using the definition of the derivative, find d/dx   1/(2−x).

A:

Q: Find the Indicated Derivative dy - 3x* + 2x³ – x + T1, 1. y= 4x5 dx

A: 1. derivate with respect to x

Q: The derivative of the function y = xe(5+sec(2x)) is: хе %3D

A: Explanation of the answer is as follows

Q: Find the derivative of y = 9* + 22. dy II

A:

Q: Find the derivative of the function. - 12 y3= dx

A: Topic - derivatives

Q: Find the derivative of the function. 4x° +8 y = y' =O

A: We have to find