NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.2 are part of NCERT Solutions for Class 12 Maths. Here we have given NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.2.

- Continuity and Differentiability Class 12 Ex 5.1
- Continuity and Differentiability Class 12 Ex 5.3
- Continuity and Differentiability Class 12 Ex 5.4
- Continuity and Differentiability Class 12 Ex 5.5
- Continuity and Differentiability Class 12 Ex 5.6
- Continuity and Differentiability Class 12 Ex 5.7
- Continuity and Differentiability Class 12 Ex 5.8

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 12 |

Subject |
Maths |

Chapter |
Chapter 5 |

Chapter Name |
Continuity and Differentiability |

Exercise |
Ex 5.2 |

Number of Questions Solved |
10 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Exc 5.2

**Differentiate the functions with respect to x in Questions 1 to 8.**

**Question 1.**

sin(x² + 5)

**Solution:**

Let y = sin(x2 + 5),

put x² + 5 = t

y = sint

t = x²+5

= cos (x² + 5) × 2x

= 2x cos (x² + 5)

**Question 2.**

cos (sin x)

**Solution:**

let y = cos (sin x)

put sinx = t

∴ y = cost,

t = sinx

∴

Putting the value of t,

**Question 3.**

sin(ax+b)

**Solution:**

let = sin(ax+b)

put ax+bx = t

∴ y = sint

t = ax+b

**Question 4.**

sec(tan(√x))

**Solution:**

let y = sec(tan(√x))

by chain rule

**Question 5.**

**Solution:**

y = =

u = sin(ax+b)

**Question 6.**

cos x³ . sin²(x^{5}) = y(say)

**Solution:**

Let u = cos x³ and v = sin² x^{5},

put x³ = t

**Question 7.**

**Solution:**

**Question 8.**

cos(√x) = y(say)

**Solution:**

cos(√x) = y(say)

**Question 9.**

Prove that the function f given by f (x) = |x – 1|,x ∈ R is not differential at x = 1.

**Solution:**

The given function may be written as

**Question 10.**

Prove that the greatest integer function defined by f (x)=[x], 0 < x < 3 is not differential at x = 1 and x = 2.

**Solution:**

(i) At x = 1

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