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vousetmoiec

Answered question

2021-11-17

Find the derivative of:

f (x) = 9 \sqrt{x}

using the shortcut rules for calculating derivatives.
f'(x)=

Answer & Explanation

pendukke

Beginner2021-11-18Added 9 answers

We have,

f (x) = 9 \sqrt{x}

Differentiating both sides w.r.t x we obtain,

f^{'} (x) = \frac{d}{d x} (9 \sqrt{x})

= 9 \times \frac{d}{d x} (x^{\frac{1}{2}})

= 9 \times \frac{1}{2} x^{\frac{1}{2} - 1}

= \frac{9}{2} x^{- \frac{1}{2}}

= \frac{9}{2 \sqrt{x}}

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