HSC Commerce: Marketing and Salesmanship 11th Standard - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Evaluate the following: i⁸⁸⁸ 

Evaluate the following: i⁹³ 

Find the derivative of the following function w.r.t. x.:

x^–9

Evaluate the following: i¹¹⁶ 

Evaluate the following: i⁴⁰³ 

Evaluate the following: `1/("i"^58)`

Evaluate the following: i³⁰ + i⁴⁰ + i⁵⁰ + i⁶⁰ 

Find the derivative of the following functions w. r. t. x.:

`x^(3/2)`

Examine whether the function is continuous at the points indicated against them:
f(x) = x³ − 2x + 1,         for x ≤ 2
      = 3x − 2,                 for x > 2, at x = 2

Find the derivative of the following function w. r. t. x.:

`7xsqrt x`

Find the derivative of the following function w. r. t. x.:

3⁵

Examine whether the function is continuous at the points indicated against them:
f(x) = `(x^2 + 18x - 19)/(x - 1)`        for x ≠ 1

      = 20                               for x = 1, at x = 1

Differentiate the following w. r. t. x.: x⁵ + 3x⁴

Differentiate the following w. r. t. x. : `x sqrtx + logx − e^x`

Differentiate the following w. r. t. x. : `x^(5/2) + 5x^(7/5)`

Differentiate the following w. r. t. x. : `2/7 x^(7/2) + 5/2 x^(2/5)`

Differentiate the following w. r. t. x. : `sqrtx (x^2 + 1)^2`

Differentiate the following w. r. t. x. : x³ log x

Differentiate the following w. r. t. x. : `x^(5/2) e^x`

Differentiate the following w. r. t. x. : e^x log x