Given the table of values below, find h'(1) if h(x) = Xx 1 f(x) 1 g(x) (x) 2 f'(x) 3 g(x) -3 g'(x) -3

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

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Q: If f(x) = 9xh (2), find f'(9).

A:

Q: Find f'(x) if f(x)=   and then simplify

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

Q: If f(x) = 5x² – 2e*, find f '(x).

A: Given that  f(x) = 5x2 - 2ex  We need to find f'(x) and f"(x) . Now , f(x) = 5x2 - 2ex  So,   f'(x)…

Q: Suppose that f(x) = f'(2) = -2 x6 Evaluate the following: ←

A: f(x)=-2x6d dx(xm)=mxm-1

Q: If  f(x) = x2/(1+ x) , find f" (1)

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

Q: If f x = x3 - x ,find  f '''  and f 4 x

A: We first find the 1st and 2nd derivatives.

Q: If f(x) - 5', show that f(x + h) – f(x) 5" h h

A: given that f(x)=5^x

Q: If f(x) = 5 + 5T. Find f-'(- 5) =

A: The function fx=5+5x3 To find f-1-5

Q: If f(x)-3T*, then f'(x)=

A:

Q: Find f"(x). f(x) = (x? +7) °

A:

Q: If f(x) find f'(3) =

A: Given that: f(x)=4x2

Q: If f(x)=x^2 −1,and h(x)=1−4x, find the following new functions,as well as any values indicated. A)…

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

Q: Find f. f"(x)  =x6 - 4x4 +x +1

A: ∫xndx = xn+1n+1+C

Q: If f(x) = 3+3x - 3x², find f'(-5).

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

Q: Find the general form of f if f'(x)= -7f(x).

A:

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: If f(x) = 8xm (=), find f'(10).

A: Solve the following

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: Calculate G' (-2) to 3 significant figures where G(x) = (4x – 2)1º (-4x² + 3x + 4)12

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Q: If f(x) = 5 + 6x – 2x?, find f'(3).

A:

Q: If f(x) – 5 + 3x 5a, find f'(3).

A:

Q: If f(x) = 4 find f'(4).

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Q: Find f'(x) for the given f(x).

A: Our aim is to differentiate the following function f(x) given below:-

Q: Letf, g be functions. Suppose we know that ƒ(−6) = 4, ƒ' (−6) = −4, g(−6) = −4, g′(−6) = −3. Using…

A: The given function and derivative values,.The aim is to find the value of  where .