Home
Class 12
MATHS
Differeniate cot^(-1)(sqrt(1+x^(2))+x) w...

Differeniate `cot^(-1)(sqrt(1+x^(2))+x)` w.r.t. x.

Text Solution

AI Generated Solution

To differentiate the function \( y = \cot^{-1}(\sqrt{1+x^2} + x) \) with respect to \( x \), we will follow these steps: ### Step 1: Identify the function to differentiate We have: \[ y = \cot^{-1}(u) \quad \text{where} \quad u = \sqrt{1+x^2} + x \] ...
Promotional Banner

Similar Questions

Explore conceptually related problems

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 tan^(-1)'(sqrt(1+x^(2))-1)/(x) w.r.t. tan^(-1)x , when x ne 0 .

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

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

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

Differentiate tan^(-1)((sqrt(1+x^(2))+1)/(x))" w.r.t. "tan^(-1)((2xsqrt(1-x^(2)))/(1-2x^(2))) at x = 0.

Differentiate sqrt(cot^(-1)sqrtx) , w.r.t. x.

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

Differentiate w.r.t. as indicated : cos^(-1)(1/sqrt(1+x^(2)))" w.r.t. "tan^(-1)x