Iff and g are functions that satisfy f'(2) = 3 and g'(2) = -1, find h'(2) for h(x) = 2f(x) - g(x) + 3 a b C d h'(2) = 7 h'(2) = 10 h'(2) = 5 h'(2) = 8

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A: In this question, we will find the derivative of the function.

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A:

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

A:

Q: If f(x) = 6 + 3x - 4x², find f'(-1).

A: Given function is

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A: We use quotient rule to find f'(x)

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A: Given that: f(x)=4x2

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:

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

Q: f f(x) = 3x2 + 2x +1, find f'(2)

A: Given : f(x)=3x2+2x+1 To find out f'(2) , we take derivative Lets find out f'(x) . apply power rule…

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A: The given function isf(x)=3+3x-3x2

Q: Differentiate the function G(x) = 7x7 +5x-⁹.

A: Introduction: Apart from integration, divergence is among the two key ideas of calculus. A technique…

Q: Find f''(x) for the function. f(x) = 8x³ - 2x² +4 OA. 32x-4 B. 4x-32 C. 48x-4 OD. 4x-48

A: Givenf(x) = 8x³ - 2x² + 4

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

A:

Q: Find the function f(x) if f''(x)=12x-6, f'(2)=4, and f(2)=-4

A: The second derivative of the function is given by f"(x_=12x-6, f'(2)=4 and f(2)=-4.

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: Find f if f ' (x) = e x  + 20 ( 1 + x 2  ) -1  and f (0) = -2

A:

Q: If f(x) = 5 + 2x - 3x², find f'(2).

A: To differentiate the given function f(x).

Q: If f(x) – 5 + 3x 5a, find f'(3).

A:

Q: Consider the function. g(x) = 2x4 - 5x³ + 13x – 3 Find g'(x). gʻ(x) = 8x – 15x2 + 13 - Find g"(x).…

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Q: Find f if f'(x) = Va(6+5x) and f(1) = –6. f(x) =

A:

Q: ƒ(x) = 8x¹³¹(x), find ƒ'(3).

A: Given query is to find indicated derivative.

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A:

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A: Suppose that fx and gx are two functions and we know that,  f-3=2g-3=5f'-3=-1g'-3=-2 To find the…

Q: The first derivative of f(x) = (5x* – 6x)/3 will be 20 A. Gx* - 2) (5x* – 6x)i B. (20x³ – 6)(5x* –…

A: