Question
Asked Sep 30, 2019
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Use the table of values to calculate F'(2), where F(x) = x2f(x)
f'(2)
f(2)
2
-9
(Give an exact answer. Use symbolic notation and fractions where needed.)
F'(2)
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Use the table of values to calculate F'(2), where F(x) = x2f(x) f'(2) f(2) 2 -9 (Give an exact answer. Use symbolic notation and fractions where needed.) F'(2)

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Expert Answer

Step 1

Computing the derivative of F(x) by using product rule, we get

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du V+ dx d dv (u v)= F'(x) 2x f(x)f'(x)x d And (x") n x* dc R-1

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Step 2

Now substituting x = 2 and ...

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F'(2) 2(2) (2)+ f'(2). (2) - 4.2+(-9) 4 (2) 2 nd f2) 9] = 8-36 =-28

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Math

Calculus