# RD Sharma Class 12 Ex 11.6 Solutions Chapter 11 Differentiation

Here we provide RD Sharma Class 12 Ex 11.6 Solutions Chapter 11 Differentiation for English medium students, Which will very helpful for every student in their exams. Students can download the RD Sharma Class 12 Ex 11.6 Solutions Chapter 11 Differentiation book pdf download. Now you will get step-by-step solutions to each question.

## RD Sharma Class 12 Ex 11.6 Solutions Chapter 11 Differentiation

### Question 1. If , prove that Solution:

We have, ⇒ Squaring both sides, we get,

y2 = x + y

### Question 2. If , prove that Solution:

We have, ⇒ Squaring both sides, we get,

y2 = cos x + y

⇒ ### Question 3. If , prove that Solution:

We have, ⇒ Squaring both sides, we get,

y2 = log x + y

### Question 4. If , prove that Solution:

We have, ⇒ Squaring both sides, we get,

y2 = tan x + y

### Question 5. If , prove that Solution:

We have, ⇒ y = (sin x)y

Taking log on both sides,

log y = log(sin x)y

⇒ log y = y log(sin x)

### Question 6. If , prove that Solution:

We have, ⇒ y = (tan x)y

Taking log on both sides,

log y = log(tan x)y

⇒ log y = y log tan x

Differentiating with respect to x using chain rule,

Now,

### Question 7. If , prove that Solution:

We have, ⇒ y = u + v + w

where Now, Taking log on both sides,

Differentiating with respect to x,

Taking log on both sides,

Taking log on both sides

Using equation in equation (i), we get

### Question 8. If , Prove that Solution:

We have, ⇒ y = (cos x)y

Taking log on both sides,

log y = log(cos x)y

⇒ log y = y log (cos x)

Differentiating with respect to x using chain rule,

I think you got complete solutions for this chapter. If You have any queries regarding this chapter, please comment in the below section our subject teacher will answer you. We tried our best to give complete solutions so you got good marks in your exam.

If these solutions have helped you, you can also share rdsharmasolutions.in to your friends.