Home
Class 12
MATHS
Differentiate cos^(-1){sqrt((1+cosx)/(2)...

Differentiate `cos^(-1){sqrt((1+cosx)/(2))}` w.r.t. x.

A

1

B

`1/2`

C

`1/3`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

Differentiate tan^(-1){(sqrt(1+x^(2))-1)/(x)} w.r.t. x.

Differentiate sin^(-1)(sqrt(cosx)) w.r.t. x, using chain rule.

Differentiate tan^(-1)((sqrt(1+x^(2))+1)/(x)) w.r.t. x.

Differentiate cos^(-1)((x-x^(-1))/(x+x^(-1))) w.r.t. x.

Differentiate sin^(-1)(2xsqrt(1-x^(2))) w.r.t. cos^(-1)((1-x^(2))/(1+x^(2))) .

Differentiate tan^(-1)((sqrt(1-x^(2)))/(x)) w.r.t. cos^(-1)(2xsqrt(1-x^(2))), when x ne0.

If x in((1)/(sqrt2)1). Differentiate tan^(-1)(sqrt(1-x^(2))/(x)) w.r. t. cos^(-1)(2xsqrt(1-x^(2))).

Differentiate tan^(-1)((sqrt(1+x^(2))-1)/(x)) w.r.t. tan^(-1)x.

Differentiate sin^(-1)(x/sqrt(1+x^(2))) w.r.t. tan^(-1)x .

Differentiate logsqrt((1+cos^(2)x)/((1-e^(2x)))) w.r.t. x.