PUC Science Class 11 - Karnataka Board PUC Question Bank Solutions

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

 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

Differentiate  of the following from first principle: 

− x

Differentiate of the following from first principle:

(−x)⁻¹

Differentiate  of the following from first principle:

sin (x + 1)

Differentiate  of the following from first principle:

\[\cos\left( x - \frac{\pi}{8} \right)\]

Differentiate  of the following from first principle:

 x sin x

Differentiate of the following from first principle:

 x cos x

Differentiate  of the following from first principle:

sin (2x − 3)

Differentiate each of the following from first principle:

\[\sqrt{\sin 2x}\] 

Differentiate each of the following from first principle:

\[\frac{\sin x}{x}\]