RD Sharma Solutions for Class 11 Chapter 30 - Derivatives Exercise 30.5

This exercise deals with fundamental rules for differentiation which is based on the quotient rule for differentiation. Students can practice the problems on a regular basis and clear their doubts pertaining to the subject by referring to the solutions. The solutions are designed strictly according to the current syllabus and marks weightage in the annual exam. Students can boost their confidence level by solving tricky problems with the help of solutions. RD Sharma Class 11 Maths Solutions pdf is available here, students can download the same from the links provided below.

Download the pdf of RD Sharma Solutions for Class 11 Maths Exercise 30.5 Chapter 30 – Derivatives

 

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Also, access other exercises of RD Sharma Solutions for Class 11 Maths Chapter 30 – Derivatives

Exercise 30.1 Solutions

Exercise 30.2 Solutions

Exercise 30.3 Solutions

Exercise 30.4 Solutions

Access answers to RD Sharma Solutions for Class 11 Maths Exercise 30.5 Chapter 30 – Derivatives

EXERCISE 30.5 PAGE NO: 30.44

Differentiate the following functions with respect to x:

RD Sharma Solutions for Class 11 Maths Chapter 30 – Derivatives - image 58

Solution:

Let us consider

y =
RD Sharma Solutions for Class 11 Maths Chapter 30 – Derivatives - image 59

We need to find dy/dx

We know that y is a fraction of two functions say u and v where,

u = x2 + 1 and v = x + 1

∴ y = u/v

Now let us apply quotient rule of differentiation.

By using quotient rule, we get

RD Sharma Solutions for Class 11 Maths Chapter 30 – Derivatives - image 60

RD Sharma Solutions for Class 11 Maths Chapter 30 – Derivatives - image 61

Solution:

Let us consider

y =
RD Sharma Solutions for Class 11 Maths Chapter 30 – Derivatives - image 62

We need to find dy/dx

We know that y is a fraction of two functions say u and v where,

u = 2x – 1 and v = x2 + 1

∴ y = u/v

Now let us apply quotient rule of differentiation.

By using quotient rule, we get

RD Sharma Solutions for Class 11 Maths Chapter 30 – Derivatives - image 63

RD Sharma Solutions for Class 11 Maths Chapter 30 – Derivatives - image 64

Solution:

Let us consider

y =
RD Sharma Solutions for Class 11 Maths Chapter 30 – Derivatives - image 65

We need to find dy/dx

We know that y is a fraction of two functions say u and v where,

u = x + ex and v = 1 + log x

∴ y = u/v

Now let us apply quotient rule of differentiation.

By using quotient rule, we get

RD Sharma Solutions for Class 11 Maths Chapter 30 – Derivatives - image 66

RD Sharma Solutions for Class 11 Maths Chapter 30 – Derivatives - image 67

RD Sharma Solutions for Class 11 Maths Chapter 30 – Derivatives - image 68

Solution:

Let us consider

y =
RD Sharma Solutions for Class 11 Maths Chapter 30 – Derivatives - image 69

We need to find dy/dx

We know that y is a fraction of two functions say u and v where,

u = ex – tan x and v = cot x – xn

∴ y = u/v

Now let us apply quotient rule of differentiation.

By using quotient rule, we get

RD Sharma Solutions for Class 11 Maths Chapter 30 – Derivatives - image 70

RD Sharma Solutions for Class 11 Maths Chapter 30 – Derivatives - image 71

Solution:

Let us consider

y =
RD Sharma Solutions for Class 11 Maths Chapter 30 – Derivatives - image 72

We need to find dy/dx

We know that y is a fraction of two functions say u and v where,

u = ax2 + bx + c and v = px2 + qx + r

∴ y = u/v

Now let us apply quotient rule of differentiation.

By using quotient rule, we get

RD Sharma Solutions for Class 11 Maths Chapter 30 – Derivatives - image 73

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