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.

Textbook | NCERT |

Class | Class 12th |

Subject | Maths |

Chapter | 11 |

Exercise | 11.6 |

Category | RD Sharma Solutions |

Table of Contents

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

**Question 1. If ****, prove that **

**Solution:**

We have,

⇒

Squaring both sides, we get,

y^{2} = x + y

**Question 2. If ****, prove that **

**Solution:**

We have,

⇒

Squaring both sides, we get,

y

^{2}= cos x + y⇒

**Question 3. If ****, prove that **

**Solution:**

We have,

⇒

Squaring both sides, we get,

y^{2} = log x + y

**Question 4. If **** , prove that **

**Solution:**

We have,

⇒

Squaring both sides, we get,

y^{2} = 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,

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