Question

differentiation of 1/✓x+a​

Answer 1

Answer:

$\frac{1}{ \sqrt{x + a} }$

=$\frac{1}{ {(x + a)}^{ \frac{1}{2} } }$

=${(x + a)}^{ - \frac{1}{2} }$

$y = {(x + a)}^{ - \frac{1}{2} }$

Diffrentiate wrt x

$\frac{dy}{dx} = \frac{ d}{dx} ( {x + a)}^{ - \frac{1}{2} }$

$= \frac{ - 1}{2} {(x + a)}^{ \frac{ - 3}{2} } \times (1 + 0)$

$= \frac{ - 1}{2} {(x + a)}^{ \frac{ - 3}{2} }$

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