given that h(x) = f(g(x)) where  f(x) = ln(x^2+1) and g(x) is a differentiable function with g(1) =2 and g'(1) =-5. what is the value of h'(1)? a.-4 b.-6 c.-5. d.-10. e.-3

Q: Given that h''(w) = - 34. State the function that best describes h'(w)

A: h"(w) = -34 Now to find h'(w)

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: 4. f(x) = 4x3x =

A: Please see the below picture for detailed solution.

Q: (2x + 1)3 (1- 4x)2' find f'(x) and fully simplify. If f (x) =

A: fx=2x+131-4x2f'x=ddx2x+131-4x2

Q: Given f''(x) = 8x- 2 and f'(- 2) = – 2 and f(- 2) = 3. Find f'(x) = and find f(3)

A: Solution:

Q: Find the derivative. h'(w) = = h(w) = (w4 - 5w)4 4(w² - 5w) ³. (4w ³ - 5) x

A:

Q: Given that h"(w) = -34. State the function that best describes h'(w). O a. h'(w) = -34w O b. h'(x) =…

A: Use the concept of power rule of derivative and select the option form given.

Q: 4 If f(x) , find f'(4). x2

A: Given that: We have, f(x)=4x2

Q: Identify x-values where f"(x) > 0. (Enter your answer using interval notation.) Identify x-values…

A:

Q: The derivative of the function f (x) is represented by f (x, isf"(x) = A. D. B. E. C.

A: We have to find the derivative of the following function -  f(x) = 1x3

Q: 5. Find (f-1)'(c) for the following functions: (a) f(x) = 5x³ + 4x³, c = 9. (b) f(x) = 3t – , c =…

A: We will find out the required values.

Q: Differentiate the function G(s) = Answer 38² 7es + s G'(s) =

A:

Q: Differentiate the function. g'(x) = g(x) = 2x² - 6x - 6x + 15 5

A: To differentiate the following function.

Q: Find a) (f(x^2). X=4 b) (g(f(x)). X= 3

A:

Q: Differentiate. F(x) = (8x + 3)² %3D F'(x) =

A: The given function is Fx=8x+32. We can take Fx=8x+32 as Fx=gx2 where gx=8x+3. Therefore, F'x=ddxgx2…

Q: Let f(x) = 2x² f'(x) = - T. The derivative function Select one: O x ² 2 O 3x² O 3x²2² O 3x² O None…

A:

Q: Let f (x) = - x² – 3. Find and simplify ƒ' (x) and ƒ" (x). x5 f" f'(x) = A = -3 B C = || f" (x) D E…

A: Given Function f( x ) as follows

Q: The derivative of the function f (x) = (x-1 – 2)(3 – Vx ) is, %3D 2x2 – x – 6/x A. fi(x) %3D 2x2+…

A:

Q: For the function ​f(x)=2e^−x^3​, find f′′(x). Then find f′′​(0​) and f′′​(1​).

A: To find f''(x)

Q: 3 find f'(5). x2 If f(x) =

A: To find f'(5)

Q: Given the function f(x) = x-7, x > 0, (a) Find f'(x).

A:

Q: If g'(x) = f(x) with g(-12) = a, g(−8) = b, g(−3) = c, and g(-2) = d, express the value of -4 1 f x…

A: