NCERT Solutions for Maths Class 12 Exercise 5.7

# NCERT Solutions for Maths Class 12 Exercise 5.7

Hello Students! In this post, you will find the complete NCERT Solutions for Maths Class 12 Exercise 5.7.

## NCERT Solutions for Maths Class 12 Exercise 5.7

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

### Maths Class 12 Ex 5.7 Question 1.

x² + 3x + 2

Solution:

Let y = x² + 3x + 2

x20

Solution:

Let y = x20

### Maths Class 12 Ex 5.7 Question 3.

x . cos x

Solution:
Let y = x . cos x

log x

Solution:
Let y = log x

x3 log x

Solution:
Let y = x3 log x

### Maths Class 12 Ex 5.7 Question 6.

ex sin 5x

Solution:
Let y = ex sin 5x

e6x cos 3x

Solution:
y = e6x cos 3x

tan-1 x

Solution:

Let y = tan-1 x

### Maths Class 12 Ex 5.7 Question 9.

log (log x)

Solution:
Let y = log (log x)

### Maths Class 12 Ex 5.7 Question 10.

sin (log x)

Solution:
Let y = sin (log x)

### Maths Class 12 Ex 5.7 Question 11.

If y = 5 cos x – 3 sin x, prove that

Solution:
We have, y = 5 cos x – 3 sin x

Hence proved.

### Maths Class 12 Ex 5.7 Question 12.

If y = cos-1 x, find d2y/dx2 in terms of y alone.

Solution:
We have, y = cos-1 x

### Maths Class 12 Ex 5.7 Question 13.

If y = 3 cos (log x) + 4 sin (log x), show that x2y2 + xy1 + y = 0

Solution:
We have, y = 3 cos (log x) + 4 sin (log x)

Solution:

### Maths Class 12 Ex 5.7 Question 15.

If y = 500e7x + 600e-7x, show that

Solution:
We have, y = 500e7x + 600e-7x

### Maths Class 12 Ex 5.7 Question 16.

Solution:
We have, ey (x + 1) = 1

### Maths Class 12 Ex 5.7 Question 17.

If y = (tan-1 x)², show that (x² + 1)² y2 + 2x(x² + 1) y1 = 2

Solution:
We have, y = (tan-1 x)²