Science (English Medium) Class 11 - CBSE Question Bank Solutions

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:

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

Differentiate each of the following from first principle: 

\[\frac{\cos x}{x}\]

Differentiate each of the following from first principle:

 x² sin x

Differentiate each of the following from first principle:

\[\sqrt{\sin (3x + 1)}\]

Differentiate each of the following from first principle: 

sin x + cos x

Differentiate each of the following from first principle:

x² e^x 

Differentiate each of the following from first principle: 

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

Differentiate each  of the following from first principle:

\[e^\sqrt{2x}\]

Differentiate each of the following from first principle:

\[e^\sqrt{ax + b}\]

Differentiate each of the following from first principle:

\[a^\sqrt{x}\]

Differentiate each of the following from first principle:

\[3^{x^2}\]

tan² x 

tan (2x + 1) 

 tan 2x 

\[\sqrt{\tan x}\]

\[\sin \sqrt{2x}\]