PUC Science Class 11 - Karnataka Board PUC Question Bank Solutions for Mathematics

Find the derivative of the following function at the indicated point: 

 sin 2x at x =\[\frac{\pi}{2}\]

\[\frac{2}{x}\]

\[\frac{1}{\sqrt{x}}\]

\[\frac{1}{x^3}\]

\[\frac{x^2 + 1}{x}\]

\[\frac{x^2 - 1}{x}\]

\[\frac{x + 1}{x + 2}\]

\[\frac{x + 2}{3x + 5}\]

k xⁿ

\[\frac{1}{\sqrt{3 - x}}\]

 x² + x + 3

(x + 2)³

 (x² + 1) (x − 5)

 (x² + 1) (x − 5)

\[\sqrt{2 x^2 + 1}\]

\[\frac{2x + 3}{x - 2}\] 

Differentiate each of the following from first principle:

e^−x

Differentiate  of the following from first principle:

e^3x

Differentiate  of the following from first principle:

 e^ax + b

x e^x