Be sure to show all work and simplify your answers completely1. Let f and g be two differentiable functions. Use the information in the table to answer the questions that follow.Values of f, g and their derivativesf (x)f' (x)9 (x)g (2)1|-151|-1246|27318.a. If h (x) = f (x) · g (x), find h'(1)f(x),find k' (2) .9(x)b. If k (x)(NOTE: h and k are different functions!)4t2. Find an equation of the tangent line to the curve y =at the point (3, 3).t+13. If f is a differentiable function, find an expression for the derivative of:2f(x)y =2.

Name: Be sure to show all work and simplify your answers completely1. Let f
Uploaded: 2024-03-20T06:47:22.000Z
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Description: Be sure to show all work and simplify your answers completely1. Let f and g be two differentiable functions. Use the information in the table to answer the questions that follow.Values of f, g and their derivativesf (x)f' (x)9 (x)g (2)1|-151|-1246|2

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Math

Calculus

1. Let f and g be two differentiable functions. Use the information in the table to answer the questions that follow. Values of f, g and their derivatives f (x) f' (x) g (x) g (x) 1 -1 2 1 |-1 2 4 |6 17 |1 8 a. If h (x) = f (x) · g (x), find h'(1) b. If k (x) f(x) find k' (2) . g(x) (NOTE: h and k are different functions!)