4 the second order For the function y = 4 e" - - d'y is derivative dx? 4e + 8x-3 O 4e" + 4x-2 -3 O 4e" - 8x 4e" + 8x¬1 1 -

Q: Find the derivative of f (x) = 3x2.e3x2 A 6x2. e3x2 + e3x² 3x2. e 3x² + 6x - e 3x2 ©) 18x3. e3x2 +…

A: Derivative

Q: Find the derivative of the following: 2x-5 y = 3x–1 O y' = 13 (3z-1) 13 (3z–1) 13 (3x+1) 13 O y' =…

A:

Q: . Find the derivative of f (x) = (2x – 6(3x²+8). A. 30x4-54x2+32x %3D

A:

Q: What is the second derivative of the graph below at x = 1? -5 -4 -3 -2 f "(1) = 5 4 3 2 da 4 I 4

A:

Q: Find the derivative of the function. 7x 7x flu) du J3x 0 fu) 3x d du g(x) Hint: fu) 3x u5 g'(x)

A: To determine the derivative of the function.

Q: 6. Sketch the graph of y= x2+ by using the properties of the derivative.

A: The given function y=x2+2x

Q: 24// Find first and second derivatives of the function (3xy + 7)2 = 6y.

A: Step:1 We have to find the first and second derivatives of 3xy+72=6y Here we have to find the…

Q: Use the quotient rule to find the derivative of the function. y= 3x+1 8x+7 What is the correct way…

A:

Q: 4. y = (3x)(3x*-2x³+x²) ; Find dx3 (Higher Order Derivative) x3

A:

Q: 9) Find the value of the derivative at the point (2,-18) ƒ(x) = -3xV2x + 5

A:

Q: Find the derivative. y = e2= . 8x3 24x?e2 + 16x4e2« – 1 O 2e2a . 24x? 24x e2 + 16x³e2* O 2xe2a…

A: We will find the derivative using Chain rule.

Q: Let h(y) = − y(y² – 6) Determine the derivative of h. h'(y) Determine the slope of h at y = 0. h'(0)

A: