HSC Commerce कक्षा ११ - Tamil Nadu Board of Secondary Education Question Bank Solutions for Business Mathematics and Statistics

Differentiate the following with respect to x.

3x⁴ – 2x³ + x + 8

Differentiate the following with respect to x.

`5/x^4 - 2/x^3 + 5/x`

Differentiate the following with respect to x.

`sqrtx + 1/root(3)(x) + e^x`

Differentiate the following with respect to x.

`(3 + 2x - x^2)/x`

Differentiate the following with respect to x.

x³ e^x

Differentiate the following with respect to x.

(x² – 3x + 2) (x + 1)

Differentiate the following with respect to x.

x⁴ – 3 sin x + cos x

Differentiate the following with respect to x.

`(sqrtx + 1/sqrtx)^2`

Differentiate the following with respect to x.

`e^x/(1 + x)`

Differentiate the following with respect to x.

`(x^2 + x + 1)/(x^2 - x + 1)`

Differentiate the following with respect to x.

`e^x/(1 + e^x)`

Differentiate the following with respect to x.

x sin x

Differentiate the following with respect to x.

e^x sin x

Differentiate the following with respect to x.

e^x (x + log x)

Differentiate the following with respect to x.

sin x cos x

Differentiate the following with respect to x.

x³ e^x

Differentiate the following with respect to x.

sin² x

Differentiate the following with respect to x.

cos² x

Differentiate the following with respect to x.

cos³ x

Differentiate the following with respect to x.

`sqrt(1 + x^2)`