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: For f (x) (3 + 1)* find f'(-0.3). Round your answer to two decimal places. You need to use the chain…

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Q: Given that h''(w) = - 34. State the function that best describes h'(w)

A: h"(w) = -34 Now to find h'(w)

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

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

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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

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Q: Use the product rule to find the derivative. y = (2x²+5)(3x - 2)

A: Here given that y=(2x2+5)(3x-2) We have to find the derivative of the function y i.e. y' by using…

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.

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

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Q: x2 find f"(x). Then find f"(0) and f''(7). For the function f(x) = %3D 3 + x' f"(x) =

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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) =

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

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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)

Q: For the function f(x) = f'(x) = 0 x² 1+x find f''(x). Then find f''(0) and f''(8). 1

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