Consider the following table, and assume that f(x) and g(x) are differentiable functions with values as given. x 1 2 3 4 f(x) -6.5 -5.1-0.3 3.9 g(x) 6.8 7.4 2.5 7.4 f'(x) 9.2 8.8 -7.6 3.8 g'(x) 6.1 -7.7 5.5 0.4 Calculate h'(1) if a. 6.35 O b. 2.21 c. 6.86 d. 19.03 e. 2.50 O f. The derivative does not exist h(x): = f(x) g(x)

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A: Let's find.

Q: ANSWER IN DETAIL

A: a.) Note: If the point P(0, -2) lies on the curve "y(x)", then, y(0) = -2. So, y(x) = 5x + 3sin(2x)…

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A: As you post multiple questions According to guidelines I only solve the first one .

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A: The solution are next step