First slide

Diffrentiation

Question

Find $\frac{dy}{dx} for y = \frac{2}{\sqrt{x}} + x \sqrt{x .}$

Moderate

A

$- \frac{1}{x^{\frac{3}{2}}} + \frac{2}{2 \sqrt{x}}$
B

$- \frac{1}{x^{\frac{3}{2}}} + \frac{3 \sqrt{x}}{2}$
C

$- \frac{2}{x^{\frac{3}{2}}} + \frac{3}{2 \sqrt{x}}$
D

$- \frac{1}{x^{\frac{3}{2}}} + \frac{3}{2 \sqrt{y}}$

Solution

$\frac{dy}{dx} = \frac{d}{dx} (2 x^{- \frac{1}{2}} + x^{\frac{3}{2}})$
$\Rightarrow \frac{dy}{dx} = 2 (- \frac{1}{2}) x^{- \frac{1}{2} - 1} + \frac{3}{2} x^{\frac{3}{2} - 1} \Rightarrow \frac{dy}{dx} = - \frac{1}{x^{\frac{3}{2}}} + \frac{3 \sqrt{x}}{2}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App