Question

differentiate the function wrt x √sin x​

Answer 1

Answer:

Note :

$\green \odot \: \: \: \: \frac{d \: \: \sqrt{x} }{dx} = \frac{1}{2 \sqrt{x} } \\ \\ \green \odot \: \: \: \: \frac{d \: \: sin \: x}{dx} = cos \: x$

Now,

$\frac{d \: \: \sqrt{ \: sin \: x} }{dx} \\ = \frac{1}{2 \sqrt{sin \: x} } \times \frac{d \: \: sin \: x}{dx} \\ = \frac{1}{2 \sqrt{sin \: x} } \times cos \: x \\ = \frac{cos \: x}{2 \sqrt{ \: sin \: x} }$