5. Suppose that h(x) f(x) -3x²² h'(-1) = 2, and 3f'(−1) — f(−1) = 31. Find the values of f'(-1) and f(-1). =

Q: f"(x) = 4x – 2 and f'(-3) = -3 and f(-3) = –6. Find f' (x) = %3D and find f(4) :

A: f''(x)=4x-2 f'(-3)=-3 , f(-3)=-6

Q: Givenf''(x)=9x−1and f'(−2)=6 and f(−2)=3.   Find f'(x)=and find f(3)=

A: Given the function:

Q: find the function f(x) if f'(x)=(2/1+x2)+(5/7)x5/7 and f(0)=2

A: Given, f'(x)=(2/(1+x2))+(5/7)x5/7

Q: If f(x) = 10x + 4, find ƒ'(10). f'(10) =

A:

Q: If F(x) = f(g(x)), where f(-2) = 3, f '(-2) = 5, f '(-4) = 4, g(-4)= -2, and g'(-4)= 3, find F…

A:

Q: 45. If F(x) = f(g(x)), where ƒ(−2) = 8, ƒ'(−2) = 4, ƒ'(5) = 3, g(5) = −2, and g′(5) = 6, find F'(5).

A:

Q: Solve for the 2"nd derivative of the function f (x) = 3x5 – 4x3 + 7x² – 10. a. 15x* – 12x2 + 14x b.…

A: Given: fx=3x5-4x3+7x2-10 To Find: 2nd derivative of the given function

Q: Find all possible functions with the given derivative. y' = 2x² - 6x 2 O A. 3x³ + C 2 O B. 3x³-3x² +…

A: Given,             y' = 2x2 - 6x

Q: If f and g are functions that satisfy f'(2) = -3 and g'(2) = -1, find h'(2) for h(x) = -5f(x) +…

A:

Q: If F(x) = f(g(x)), where f(-2) = 8, f'(-2) = 4, f'(5) = 3, g(5) = -2, and g'(5) = 6, find F'(5).

A: Here given

Q: Given f''(x) = 4x – 5 and f'( – 3) = 3 and f( – 3) = 6. %3D Find f'(x) = and find f(3)

A: Given, f''x=4x-5 , f'-3=3 and f-3=6 We have to find f'x and f3.

Q: Find the first and second derivatives of f(x). Simplify your answer using positive fractional…

A: The given function is

Q: Given f''(x) = 3x – 1 and f'( – 3) = – 5 and f( – 3) = - 1. Find f'(x) and find f(4)

A:

Q: Given f''(x) = 4x – 6 and f'( – 1) = – 2 and f( – 1) = 4. Find f'(x) = and find f(2)

A:

Q: If f is the function f (x) = + 4/x, then f' (4)

A: The function is  f(x)=4x+4x

Q: 6. If f(2) = 3,f'(2) = 5, g(2) = –1, and g'(2) = –4, find (f g)'(2).

A:

Q: If f and g are functions that satisfy f'(2) = 5 and g'(2) = −2, find h'(2) for h(x) = 2f(x) - g(x) +…

A:

Q: Given f'"(1) = 9x +4 and f'(- 2) = 2 and f(- 2) = - 6. - Find f'(x) = and find f(4)

A: Given  f''x=9x+4          f'-2=-2  and f-2=-6          f'x=∫f''x dx+C                =∫ 9x+4  dx+C…

Q: 2.Take the derivatives of the following functions. Do not simplify. a. f(x) 10x4 f'(x) f'(x)…

A: Here,  we have to find derivatives of the given function.

Q: Given f"(x) = 5x + 6 and f'(0) = -6 and f(0) = -5. Find f'(x) = and find f(4)

A: given  f''(x)=5x+6given  f'(0)=-6  and f(0)=-5we know ∫xndx=xn+1n+1+c

Q: Suppose F(x) = x² · g(x). Find the value of F'(-2) if the following values are known: g(-2) = 3,…

A:

Q: Given f''(x) = 9x + 5 and f'(-3)=-3 and f(-3) = 6. Find f'(x) = and find f(2)

A:

Q: 4. Find F'(8) if F (x) = x

A:

Q: Find the derivative of the following function. f(x) = 14 f'(x) =

A:

Q: f"(x) = 7x – 2 - and f'(-3) = –6 and f(-3) -2. Find f'(x) = and find f(4) =

A:

Q: If f(x) = (3x + 5)¯², find ƒ'(x). Find ƒʼ(2).

A: As we know that: The Chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1   The given function is:…

Q: If g'(6) = 6 and h'(6) = 19, find f'(6) for f(x) = f'(6)= (Simplify your answer.) () = g(x) + =…

A:

Q: If 46 +3ƒ(x) + 5x²(ƒ(x))³ = 0 and ƒ(−1) = −2, find ƒ'(-1). f'(-1) = 0

A: Given46+3f(x)+5x2f(x)3=0f-1=-2   We are required to findf'(-1)