PUC Science 2nd PUC Class 12 - Karnataka Board PUC Question Bank Solutions for Mathematics

Differentiate (log sin x)² ?

Differentiate \[\sqrt{\frac{1 + x}{1 - x}}\] ?

Differentiate \[\sin \left( \frac{1 + x^2}{1 - x^2} \right)\] ?

Differentiate \[e^{3 x} \cos 2x\] ?

Differentiate \[e^{\tan 3 x} \] ?

Differentiate \[e^\sqrt{\cot x}\] ?

Differentiate \[\log \left( \frac{\sin x}{1 + \cos x} \right)\] ?

Differentiate \[\log \sqrt{\frac{1 - \cos x}{1 + \cos x}}\] ?

Differentiate \[\tan \left( e^{\sin x }\right)\] ?

Differentiate \[\log \left( x + \sqrt{x^2 + 1} \right)\] ?

Differentiate \[\frac{e^x \log x}{x^2}\] ? 

Differentiate \[\log \left( cosec x - \cot x \right)\] ?

Differentiate \[\frac{e^{2x} + e^{- 2x}}{e^{2x} - e^{- 2x}}\] ?

Differentiate \[\log \left( \frac{x^2 + x + 1}{x^2 - x + 1} \right)\] ?

Differentiate \[\tan^{- 1} \left( e^x \right)\] ?

Differentiate \[e^{\sin^{- 1} 2x}\] ?

Differentiate \[\sin \left( 2 \sin^{- 1} x \right)\] ?

Differentiate \[e^{\tan^{- 1}} \sqrt{x}\] ?

Differentiate \[\sqrt{\tan^{- 1} \left( \frac{x}{2} \right)}\] ?

Differentiate \[\log \left( \tan^{- 1} x \right)\]?