Key to "Derivatives of products and quotients Find the derivative..." - Plainmath

Karen Simpson

Answered question

2021-12-06

Derivatives of products and quotients Find the derivative of the following functions by first expanding or simplifying the expression.

h (x) = {(x^{2} + 1)}^{2}

Answer & Explanation

temnimam2

Beginner2021-12-07Added 36 answers

Step 1
Derivative:

h (x) = {(x^{2} + 1)}^{2}

\frac{d}{d x} (u v) = u \frac{d v}{d x} + v \frac{d u}{d x}

Step 2

h (x) = {(x^{2} + 1)}^{2}

h (x) = x^{4} + 2 x^{2} + 1

h^{'} (x) = 4 x^{3} + 4 x

h^{'} (x) = 4 x (x^{2} + 1)

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