NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.7 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 5.7.

- Continuity and Differentiability Class 12 Ex 5.1
- Continuity and Differentiability Class 12 Ex 5.2
- 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 5.8

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 12 |

Subject |
Maths |

Chapter |
Chapter 5 |

Chapter Name |
Continuity and Differentiability |

Exercise |
Ex 5.7 |

Number of Questions Solved |
17 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Exc 5.7

**Find the second order derivatives of the functions given in Questions 1 to 10.**

**Ex 5.7 Class 12 Maths Question 1.**

x² + 3x + 2 = y(say)

**Solution:**

**Ex 5.7 Class 12 Maths Question 2.**

x^{20} = y(say)

**Solution:**

**Ex 5.7 Class 12 Maths Question 3.**

x.cos x = y(say)

**Solution:**

**Ex 5.7 Class 12 Maths Question 4.**

log x = y (say)

**Solution:**

**Ex 5.7 Class 12 Maths Question 5.**

x^{3} log x = y (say)

**Solution:**

x^{3} log x = y

**Ex 5.7 Class 12 Maths Question 6.**

e^{x} sin5x = y

**Solution:**

e^{x} sin5x = y

**Ex 5.7 Class 12 Maths Question 7.**

e^{6x} cos3x = y

**Solution:**

e^{6x} cos3x = y

**Ex 5.7 Class 12 Maths Question 8.**

tan^{-1} x = y

**Solution:**

**Ex 5.7 Class 12 Maths Question 9.**

log(logx) = y

**Solution:**

log(logx) = y

**Ex 5.7 Class 12 Maths Question 10.**

sin(log x) = y

**Solution:**

sin(log x) = y

**Ex 5.7 Class 12 Maths Question 11.**

If y = 5 cosx – 3 sin x, prove that

**Solution:**

Hence proved

**Ex 5.7 Class 12 Maths Question 12.**

If y = cos^{-1} x, Find in terms of y alone.

**Solution:**

**Ex 5.7 Class 12 Maths Question 13.**

If y = 3 cos (log x) + 4 sin (log x), show that

**Solution:**

Given that

y = 3 cos (log x) + 4 sin (log x)

**Ex 5.7 Class 12 Maths Question 14.**

**Solution:**

Given that

**Ex 5.7 Class 12 Maths Question 15.**

If y = 500e^{7x} + 600e^{-7x}, show that .

**Solution:**

we have

y = 500e^{7x} + 600e^{-7x}

**Ex 5.7 Class 12 Maths Question 16.**

If e^{y}(x+1) = 1,show that

**Solution:**

**Ex 5.7 Class 12 Maths Question 17.**

If y=(tan^{-1} x)² show that (x²+1)²y_{2}+2x(x²+1)y_{1}=2

**Solution:**

we have

y=(tan^{-1} x)²

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