Suppose the functions f(x) and g(x) satisfy the following: f(2)= g(2) = g(0) = 4 3 2 f'(2) = g'(2) = gʻ(0) = -1 0 3 Showing all your work, find the following values: a. If h(x) = f(x) · g(x), find h' (2). f(x) b. If k (x) , find k' (2). g(x) c. If p(x) = f(g(x)), find p'(0). d. If r(x) = ef(x), find r' (2). =

Q: 4. y = (8x*- 5x2 + 1)* 5. g(t) = -3V7t3 – 1

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A: A detailed solution is given below

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Q: 3 (d) h (x) = 3x² – 4x2 + 2 | (e) ƒ (x) = x5 – xª + x³ – x² + x – 1 - | (f) ƒ (x) = x6+x5+x4 – a³ –…

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Q: 2. 3 Determine f'(x) and simplify. f(x) = (3x² - 4x) (2x - 3) ³

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Q: 1. f(x) = 4x - 17

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Q: Step 2: Step 3: Sten 4:

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