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

Find the derivative of x² – 2 at x = 10.

Find the derivative of 99x at x = 100.

Find the derivative of x at x = 1.

For the function

f(x) = `x^100/100 + x^99/99 + ...+ x^2/2 + x + 1`

Prove that f'(1) = 100 f'(0)

Find the derivative of `2x - 3/4`

Find the derivative of (5x³ + 3x – 1) (x – 1).

Find the derivative of x^–3 (5 + 3x).

Find the derivative of x⁵ (3 – 6x^–9).

Find the derivative of x^–4 (3 – 4x^–5).

Find the derivative of `2/(x + 1) - x^2/(3x -1)`.

Find the derivative of the following function (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

(x + a)

Find the derivative of the following function (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

`(px+ q) (r/s + s)`

Find the derivative of the following function (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

(ax + b) (cx + d)²

Find the derivative of the following function (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

`(ax + b)/(cx + d)`

Find the derivative of the following function (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

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

Find the derivative of the following function (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

`1/(ax^2 + bx + c)`

Find the derivative of the following function (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

`(ax + b)/(px^2 + qx + r)`

Find the derivative of the following function (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

`(px^2 +qx + r)/(ax +b)`

Find the derivative of the following function (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

`a/x^4 = b/x^2 + cos x`

Find the derivative of the following function (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

`4sqrtx - 2`