6. Let f(x) = -5x¹ and g(x) = 2x + x. If h is the function defined by h(x) = f(g(x)), which of the following gives a correct expression for h'(x)? (A) 20(g(x))³ = 20 (e²x + x)³ x-Sy 20(g(x))³ = 20 (2e²x + 1)³. (B) (C) (D) 5(g(x)) = 5(2e²x + 1)² 20(g(x))³ g(x) = 20 (e² + x)³ (2e²ª + 1) +5x4 e2(5.4) 4 10x² +5+

Q: he first principle to determine f'(x) of the following functions: f(x)=x2 f(x)=x2-

A: f(x) = x2 ddx(f) = f'(x) = 2x

Q: 1 Po(x) = v2 3 P1(1) = : %3D "V 2 PĄ(2) = (3=² – 1) V P3(x) = ; (5x³ – 3r) /5 Write down the…

A: We will find out the required values.

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

A: f(x)=-2x6d dx(xm)=mxm-1

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A:

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A:

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A:

Q: 23 The derivative of the function f(x) = xª + is 23 4x3 (x²) 23 4x3 + (w³) 23 4x3 + (x) 1 4x 23 O 4x…

A:

Q: a) f(x) = x28 + e-x 2x + 13 b) h(x) = e³x³-4x²+2 + 5ln(x³3 -x+ eⓇx) c) y = x²2 (12x³ - 25x) 42

A:

Q: Find f'(x) and simplify. X X-19 f(x) = Which of the following shows the correct application of the…

A: Given that       f(x) = x/(x-19)

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A:

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A: Given graph for f

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A: The given composition function is

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A:

Q: Suppose k(2) = f(g(h(x)). Given the table of values below, determine k(-2). f(x) g(x) | h(x) | f'(x)…

A: