Suppose that f (2) = 3, g(2) = 2, f'(2) = -2, and g'(2) = 4. For the following functions, find h' (2). (a) h(x) = 3f(x)g(x) (b) h(x) = f (x) 1+g(x) (c) h(x) = x²g(x)+ f(x)

Q: g(x) = 2x + 3 X - 5 Given the functions find g'(x)

A: Inverse of function problem....

Q: If f(x) = 9xh (2), find f'(9).

A:

Q: he first principle to determine f'(x) of the following functions: f(x)=x2 f(x)=x2-

A: f(x) = x2 ddx(f) = f'(x) = 2x

Q: Find the derivative of h(x) = (3x − 2x2)(5 + 4x)

A: We first expand h(x)

Q: 'f(x) = 5x² + 2 and 9(x) = 1/x , find and simplify f(9(x)). %3D

A: Given f(x)=5x2+2  and g(x)=1x To find and simplify the value of fgx

Q: Suppose that f(x) = f'(2) = -2 x6 Evaluate the following: ←

A: f(x)=-2x6d dx(xm)=mxm-1

Q: Suppose g(x) = x²f(x) and it is known that f(2) = 5 and f'(2) = -2. Evaluate g'(2). g'(2) =

A:

Q: (A) h(x) = 12f(x). %3D h'(2) = %3D (B) h(x) = -119(r). %3D h'(2) = %3D (C) h(x) = 2f(x) + 3g(x).…

A: Given Data: f’(2)=2 g’(2)=-1 (A) h(x)=12f(x) The derivative of the given function. h'x=12f'x For…

Q: If f(x) = 23x + 27, find f'(5).

A: First we have to find derivative of f(x) then we will find f'(5) as shown below

Q: If f(x) = 19, find f'(7).

A: If f(x)=19, then we have to find f'(7)=?.

Q: If f(x) − x3 - x, find f"'(x) and f (4)(x).

A: Given function is: fx=x3-x We have to find f'''x and f4x.

Q: Let f and g be functions that satisfy f'(2) = -6 and g'(2) = 9. Find h'(2) for each function h given…

A:

Q: (f-1)'(3) given the following table of values. f(x) f'(x) 3 1

A: Given, Assume a nth order polynomial function. Substitute x=2 in the above expression.…

Q: Suppose that for two functions f & g, we know the following information:f(8) = 16f'(8) = 6f(3) =…

A: The given composition function is

Q: ƒ f(x) = 25, find f'(-3).

A: Topic:- derivatives

Q: Find the general form of f if f'(x)= 9f(x). f(x) = ]

A:

Q: If f(x) = 8xm (=), find f'(10).

A: Solve the following

Q: Find (f-1)'(9) if f(x)=x3+x-1

A: To detemine the value of the derivative of the inverse function at the given point

Q: Suppose that f (x) = 8x² – 2x + 5. Evaluate each of the following: f'(9) = f'(-11) =

A: Given,            fx=8x2-2x+5

Q: Suppose k(2) = f(g(h(x)). Given the table of values below, determine k(-2). f(x) g(x) | h(x) | f'(x)…

A:

Q: If f(x) = 15x + 4, find ƒ'(5).

A: Given: The given function is fx=15x+4 To find: we have to find the value of f'5 Note: Multiple…

Q: f(x) = (5z – 3)(4: 6(2-0³) 3-20 f(9) = 3 ၁၂ နှ

A: