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: 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 h(x) if h'(x): h(x) = = 9x (3-x²)² and h(1) = -3.

A:

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

A: f(x)=-2x6d dx(xm)=mxm-1

Q: If f(x) = 5 + 5T. Find f-'(- 5) =

A: The function fx=5+5x3 To find f-1-5

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: Find f(x). -9x + 6x - 5x +1 f(x) f'(x)

A:

Q: If (f • g) (+₂) = O x-2 2x-4 x+5 and f(x) = 32, find g(x). x-2'

A:

Q: Let f(x)= x' and g(x)=x² +7. Find (g1f)(2)

A:

Q: If f(x) find f'(3) =

A: Given that: f(x)=4x2

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: If f(x)=x^2 −1,g(x)=2x−3, find the following new functions, as well as any values indicated A)…

A:

Q: If f(x)=x^2 −1,and h(x)=1−4x, find the following new functions,as well as any values indicated. A)…

A: Given function  f(x) = x2 - 1  and h(x) 1 - 4x Then A) (f + h)(x) = ? B) (f + h)(0) = ?

Q: Find f(x) if f (x) = x/x given f(1) = 2. %3D

A:

Q: f(x) = x' +x² +1 and g(x) = 4 – x²

A:

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: For the function, find the following. f(x) = x4 − 6x3 − 7x2 + 4x − 6 (a) f '(x) (b) f…

A: find the given derivative of the function f(x)

Q: If f(x) = 7+ 3 – 3x², find f'( – 5). -

A:

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

A: Solve the following

Q: Let f(x)=(x-3)/(x2-1).  What can you say about the long-term behavior of f?

A:

Q: Consider the following. و + شہری ۔ شہر = (f(x (a) Find F(x) and f(x). f(x) = F(x) = (b) Graph Rx),…

A: Given:To find:f'(x) and f''(x) and monotone intervals

Q: If g(x)=2x−3, and h(x)=1−4x, find the following new functions,as well as any values indicated. A)…

A:

Q: If f(x) = x²/(1 + x), find f "(2). f "(2) = L

A:

Q: If f(x) =x² +1 and g(x) = 2x + 3, find all values of x where the derivative of fAg(x)) is equal to…

A:

Q: Find h(x) if h'(x)= h(x): 5x (6-x²)² X and h(1) = -6.

A: NOTE: Refresh your page if you can't see any equations. . here we have take integration on both…

Q: If fx) = In(2x3 + 5x2 - 10), then determine f'(x).

A: