7. 2Vcotx

Open in App

Solution

The function that is to be differentiated is,

2 cot( x 2 )

Differentiate the function with respect to x.

d dx ( 2 cot( x 2 ) )=2× 1 2 cot( x 2 ) d dx cot( x 2 ) = 1 cot( x 2 ) ( − cosec 2 ( x 2 ) ) d dx ( x 2 ) = 1 cot( x 2 ) ( − cosec 2 ( x 2 ) )( 2x ) = −2x cosec 2 ( x 2 ) cot( x 2 )

Suggest Corrections

Similar questions

\frac{d}{d x} [\frac{t a n x - c o t x}{t a n x + c o t x}] =

s i n x + c o s x + t a n x + c o t x + s e c x + c o s e c x = 7

s i n 2 x = a - b \sqrt{7}

a - b + 14

| c o t x | = c o t x + \frac{1}{s i n x} .

\int_{0}^{π / 2} \frac{\sqrt{c o t x}}{\sqrt{t a n x} + \sqrt{c o t x}}

d x

\frac{c o t 2 x}{c o t x} + \frac{c o t x}{c o t 2 x} + 2 = 0.

Join BYJU'S Learning Program