Given that f(x) = x"h(x) h( – 1) = 2 h'(– 1) = 5 Calculate f'(– 1). Hint: Use the product rule and the power rule.

Q: Let F(x) = f(xf (x²)). Suppose that ƒ(4) = 6, ƒ'(4) = 1, and ƒ'(12) = 5. Find F'(2).

A: Given, .Given,  f(4)=6, f'(4)=1 and f'(12)=5.

Q: f(т) — Зг? — 2х + 4

A: Given: f(x)=3x2-2x+4

Q: Find f'(a) for f'(a) = f(x): = -9 √2 - 4x

A:

Q: Find f'(0) for f(x) x = 0. 0,

A:

Q: For the function f(x)=3x² - 2x+7, find f''(x). Then find f’’(0) and f’’(8). f''(x)=(Simplify your…

A: See this solution in below.

Q: x² find f''(x). Then find f''(0) and f''(9). For the function f(x) = %3D 9 + x

A:

Q: Let f(x)=100/5+2e-0.01x. Find f'(x).

A: Write the given function using exponent.

Q: f(x)= (x^3 +x)^4  a. find f'(x)    b. Find f''(x)

A: Given function

Q: 2. Find f'(x) for f(x) = x²e.

A:

Q: Given that f(x) = x¹²h(x) h(-1) = 2 h'(-1) = 5 Calculate f'(-1). | Hint: Use the product rule and…

A:

Q: Find  f' in terms of g' .

A: f(x)=g(ex)chain rulef(g(x))'= f'(g(x))* g'(x)

Q: Find f. f"(x) = -2 + 36x – 12x², (0) = 8, f'(0) = 18 "(x) =

A:

Q: Find f' (æ) for f (x) = 7 ln(4 + æ²).

A:

Q: find f'(t) for f(x)=x/8x-8

A: We will need the quotient formula to find f'(x) Assume u and v, then find u' and v'

Q: Find and interpret f'(4) and f''(4) f(x) = 2/

A: f(x)=2x To find: f'(4) , f''(4)