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rabbitz42z8

Answered question

2021-12-07

Find the derivative of the following functions by first expanding the expression.

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

Answer & Explanation

Linda Tincher

Beginner2021-12-08Added 14 answers

Step 1
Given:

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

h(x) can be expended as,

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

= x^{4} + 2 x^{2} + 1

Differentiating h(x) with respect to x,

h^{1} (x) = \frac{d}{d t} (x^{4} + 2 x^{2} + 1)

= 4 x^{3} + 4 x

Hence,

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

.

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