Q8: Find the second derivative of the function: f(x) = x² + e* + 1 %3D Select one: f"(x) = 3 + e* a. f"(x) = 2x + e* + 1 x+1 b. f"(x) = 2x + e* O C. с. f"(x) = 2+ e* d.

Q: f"(x) = 24x2 + 2x + 8, f(1) = 2, f'(1) = -2 f(x) =

A: given that f"x=24x2+2x+8, f(1)=2 and f'1=-2 find f(x)

Q: 1 (t² +3t+1)/2 19½/2 f) f(x) = -

A:

Q: Differentiate the function. y = ex +4+3 y' = et+4+3 X

A: The Sum/Difference Rule:The Power Rule:The Chain Rule:And use the common deriavtive:

Q: 2x? + ху? %3D 1

A: Given function is 2x2+xy2=1. BY product rule of differentiation, we have ddxuv=uddxv+vddxu…

Q: Differentiate the following function: y=6x' +5x -4x+2

A: Differentiate of the function

Q: Find the derivative of f(a) %3D 울 -울 + 4VE

A:

Q: Calculate y" for the function y = 5x' – 7x² +16

A:

Q: h (t) = 9t³ - 7t +5 t³et 8 5t5

A:

Q: Calculate the derivative of the following function. y=f(g (5x*)), where f and g are differentiable…

A:

Q: Find the derivative: n[(x³ + 2) (x² + 3)]. Evaluate S dx. Зx8 — 2 2x*- x2 Evaluate dx.

A:

Q: Differentiate the given function. 7x-2+-

A: Here we apply product rule of differentiation (UV)' = U(V') +(U')V

Q: Find the derivative of the function

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.