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Consider the following function: f ( x ) = ( x 4 + 5 ) ( e x + 1 ) x 2 + 1

Consider the following function:

f(x)=(x4+5)(ex+1)x2+1

A) Why is it possible to use the method of logarithmic differentiation to find the derivative of y = f(x)?

Why is this function a good candidate for logarithmic differentiation? Justify both answers

B) Find the derivative of y = f(x) using logarithmic differentiation. The answer should be in terms of x.

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