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dictetzqh

Answered question

2021-12-06

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

h (x) = \sqrt{x} (\sqrt{x} - 1)

Answer & Explanation

Kathleen Ashton

Beginner2021-12-07Added 15 answers

Step 1
Given:

h (x) = \sqrt{x} (\sqrt{x} - 1)

h(x) can be expended as,

h (x) = \sqrt{x} (\sqrt{x} - 1)

= x - \sqrt{x}

Differentiating h(x) with respect to x,

h^{1} (x) = \frac{d}{d x} (x - \sqrt{x})

= 1 - \frac{1}{2 \sqrt{x}}

Hence,

h^{'} (x) = 1 - \frac{1}{2 \sqrt{x}}

.

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