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

Differentiate the following functions from first principles x²e^x ?

Differentiate the following functions from first principles log cosec x ?

Differentiate the following functions from first principles sin⁻¹ (2x + 3) ?

Differentiate sin (3x + 5) ?

Differentiate tan² x ?

Differentiate tan (x° + 45°) ?

Differentiate sin (log x) ?

Differentiate \[e^{\sin} \sqrt{x}\] ?

Differentiate e^tan x ?

Differentiate sin² (2x + 1) ?

Differentiate log₇ (2x − 3) ?

Differentiate tan 5x° ?

Differentiate `2^(x^3)` ?

Differentiate \[3^{e^x}\] ?

Differentiate log_x 3 ?

Differentiate \[3^{x^2 + 2x}\] ?

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

Differentiate \[3^{x \log x}\] ?

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

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