JEE  >  NCERT Solutions Exercise 5.7: Continuity & Differentiability

# NCERT Solutions Exercise 5.7: Continuity & Differentiability | Mathematics For JEE

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Continuity & Differentiability

Question 1: Find the second order derivatives of the function. Let y = Then, Question 2: Find the second order derivatives of the function. x20

Let y = x20
Then, Question 3: Find the second order derivatives of the function. x.cos x

Let y = x.cos x
Then,   Question 4: Find the second order derivatives of the function. log x

Let y = log x
Then, Question 5: Find the second order derivatives of the function. x3 log x

Let y = x3 log x
Then, Question 6: Find the second order derivatives of the function. Let y =  Question 7: Find the second order derivatives of the function. Let y = Then, Question 8: Find the second order derivatives of the function. Let y = Then, Question 9: Find the second order derivatives of the function. Let y = Then, Question 10: Find the second order derivatives of the function. Let y = Then, Question 11: If It is given that, Then, Hence, proved.

Question 12:
If in terms of y alone.

It is given that, Then,   Question 13:
If 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.

The document NCERT Solutions Exercise 5.7: Continuity & Differentiability | Mathematics For JEE is a part of the JEE Course Mathematics For JEE.
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## Mathematics For JEE

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