Science (English Medium) इयत्ता १२ - CBSE Question Bank Solutions

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

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

Differentiate  \[\left( x^x \right) \sqrt{x}\] ?

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

Differentiate  \[x^{x \cos x +} \frac{x^2 + 1}{x^2 - 1}\]  ?

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

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

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

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

Differentiate  \[x^{x^2 - 3} + \left( x - 3 \right)^{x^2}\] ?

Find  \[\frac{dy}{dx}\] \[y = e^x + {10}^x + x^x\] ?

find  \[\frac{dy}{dx}\]  \[y = \frac{\left( x^2 - 1 \right)^3 \left( 2x - 1 \right)}{\sqrt{\left( x - 3 \right) \left( 4x - 1 \right)}}\] ?

Find  \[\frac{dy}{dx}\]  \[y = \frac{e^{ax} \cdot \sec x \cdot \log x}{\sqrt{1 - 2x}}\] ?

Find  \[\frac{dy}{dx}\] \[y = e^{3x} \sin 4x \cdot 2^x\] ?

Find  \[\frac{dy}{dx}\] \[y = \sin x \sin 2x \sin 3x \sin 4x\] ?

Find  \[\frac{dy}{dx}\] \[y = x^{\sin x} + \left( \sin x \right)^x\] ?

Find  \[\frac{dy}{dx}\]  \[y = \left( \sin x \right)^{\cos x} + \left( \cos x \right)^{\sin x}\] ?

Find \[\frac{dy}{dx}\] \[y =  \left( \tan  x \right)^{\cot   x}  +  \left( \cot  x \right)^{\tan  x}\] ?

If `y=(sinx)^x + sin^-1 sqrtx  "then find"  dy/dx`