# NCERT solution class 12 chapter 5 Continuity and Differentiability exercise 5.7 mathematics part 1

## EXERCISE 5.7

#### Question 1:

Find the second order derivatives of the function. Let Then, #### Question 2:

Find the second order derivatives of the function. Let Then, #### Question 3:

Find the second order derivatives of the function. Let Then, #### Question 4:

Find the second order derivatives of the function. Let Then, #### Question 5:

Find the second order derivatives of the function. Let Then, #### Question 6:

Find the second order derivatives of the function. Let Then, #### Question 7:

Find the second order derivatives of the function. Let Then, #### Question 8:

Find the second order derivatives of the function. Let Then, #### Question 9:

Find the second order derivatives of the function. Let Then, #### Question 10:

Find the second order derivatives of the function. Let Then, #### Question 11:

If , prove that It is given that, Then, Hence, proved.

#### Question 12:

If find in terms of y alone.

It is given that, Then, #### Question 13:

If , show that It is given that, Then, Hence, proved.

#### Question 14:

If show that It is given that, Then, Hence, proved.

#### Question 15:

If , show that It is given that, Then, Hence, proved.

#### Question 16:

If , show that The given relationship is  Taking logarithm on both the sides, we obtain Differentiating this relationship with respect to x, we obtain Hence, proved.

#### Question 17:

If , show that The given relationship is Then, Hence, proved.

error: Content is protected !! 