Chapter 10 Differentiability Ex 10.1

Question 1

Solution 1

Question 2

Solution 2

Question 3

Solution 3

Question 4

Solution 4

Question 5

Solution 5

Question 6

Find whether the following functions is differentiable at

 x = 1 and x = 2 or not:

Solution 6

Question 7(i)

Solution 7(i)

Question 7(ii)

Solution 7(ii)

Question 7(iii)

Solution 7(iii)

Question 8

Solution 8

Question 9

Solution 9

Question 10

Solution 10

Question 11

Find the values of a and b, if the function f(x) defined by  is differentiable at x = 1.Solution 11

Given: 

As f(x) is differentiable at x = 1, we have

 … (i)

Now, Rf'(1) exist when (b – 2 – a) = 0 … (ii)

From (i), we get, b = 5

Putting this in (ii), we get, a = 3.

Chapter 10 Differentiability Ex 10.2

Question 1

Solution 1

Question 2

Solution 2

Question 3

Solution 3

Question 4

Solution 4

Question 5

Solution 5

Question 6

Solution 6

Question 7

Examine the differentiability of the function f defined by

Solution 7

Question 8

Solution 8

Question 9

Solution 9

Question 10

Solution 10

Question 11

Solution 11

Question 12

Solution 12