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: 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) = 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: 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: 3. Find f'(x) for f(x) = 3x-4 2x+3

A:

Q: х? + 2х + 9y? — 18у + 11 3D 0 Is the equation of: Select one: О а. Нурerbola O b. Ellipse O c.…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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: 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: 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: Find f. f(x) = f"(x) = -2 + 18x - 12x², f(0) = 3, f'(0) = 12

A: Integration

Q: Find f'(x), f'"(x), and f()(x) for the following function. f(x) = 6e* f'(x)= O f'"(x) =D

A: We have to find derivatives of the given function.

Q: −

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: 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: Find f(x) if f(x) = = 13. 4.x + 17 and f(1) :

A: Given: f'x=4x3+17 And, f1=13 The objective is to find fx.

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

A:

Q: 3. If f'(x)= 3x² 2 and f(1) = 4, find f(e).

A: To find f(x) from f'(x) we integrate it C=integrating constant

Q: Given f (x) = x³ - 3x – 1,x 2 2, find (f~')'(-1)

A:

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

A:

Q: - If f'(x)=3x² 2 and f (1) = 4, find f(e).

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: Suppose the units of f(x) are square meters, when x is measured in persons. The units of f'(x) will…

A: Given, The units of fx are square meters, where x is measured in persons We have to find the units…

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 f(x) = In (x – 3), find f'(x). State the domain of f'.

A: f(x)=ln(x-3)⇒f'(x)=1x-3