NCERT Solutions - Continuity & Differentiability, Exercise 5.4 JEE Notes | EduRev

Mathematics (Maths) Class 12

JEE : NCERT Solutions - Continuity & Differentiability, Exercise 5.4 JEE Notes | EduRev

The document NCERT Solutions - Continuity & Differentiability, Exercise 5.4 JEE Notes | EduRev is a part of the JEE Course Mathematics (Maths) Class 12.
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Continuity & Differentiability 

Question 1:
 Differentiate the following w.r.t. x: 
NCERT Solutions - Continuity & Differentiability, Exercise 5.4 JEE Notes | EduRev

Answer
Let y = NCERT Solutions - Continuity & Differentiability, Exercise 5.4 JEE Notes | EduRev
By using the quotient rule, we obtain

NCERT Solutions - Continuity & Differentiability, Exercise 5.4 JEE Notes | EduRev

Question 2: Differentiate the following w.r.t. x: esin-1x

Answer
Let y = esin-1x
By using the chain rule, we obtain
NCERT Solutions - Continuity & Differentiability, Exercise 5.4 JEE Notes | EduRev


Question 3: Differentiate the following w.r.t. x: NCERT Solutions - Continuity & Differentiability, Exercise 5.4 JEE Notes | EduRev

Answer
Let y = NCERT Solutions - Continuity & Differentiability, Exercise 5.4 JEE Notes | EduRev
By using the chain rule, we obtain

NCERT Solutions - Continuity & Differentiability, Exercise 5.4 JEE Notes | EduRev

Question 4: Differentiate the following w.r.t. x: sin(tan-1e-x)

Answer
Let y = sin(tan-1e-x)
By using the chain rule, we obtain

NCERT Solutions - Continuity & Differentiability, Exercise 5.4 JEE Notes | EduRev


Question 5: Differentiate the following w.r.t. x: log(cosex)

Answer
Let y = log(cosex)
By using the chain rule, we obtain

NCERT Solutions - Continuity & Differentiability, Exercise 5.4 JEE Notes | EduRev

Question 6: Differentiate the following w.r.t. x:

NCERT Solutions - Continuity & Differentiability, Exercise 5.4 JEE Notes | EduRev

Answer

NCERT Solutions - Continuity & Differentiability, Exercise 5.4 JEE Notes | EduRev

Question 7: Differentiate the following w.r.t. x: NCERT Solutions - Continuity & Differentiability, Exercise 5.4 JEE Notes | EduRev

Answer
Let

NCERT Solutions - Continuity & Differentiability, Exercise 5.4 JEE Notes | EduRev

Question 8: Differentiate the following w.r.t. x:

NCERT Solutions - Continuity & Differentiability, Exercise 5.4 JEE Notes | EduRev

Answer
Let y = NCERT Solutions - Continuity & Differentiability, Exercise 5.4 JEE Notes | EduRev
By using the chain rule, we obtain
NCERT Solutions - Continuity & Differentiability, Exercise 5.4 JEE Notes | EduRev

Question 9: Differentiate the following w.r.t. x:

NCERT Solutions - Continuity & Differentiability, Exercise 5.4 JEE Notes | EduRev

Answer
Let y = NCERT Solutions - Continuity & Differentiability, Exercise 5.4 JEE Notes | EduRev
By using the quotient rule, we obtain

NCERT Solutions - Continuity & Differentiability, Exercise 5.4 JEE Notes | EduRev

Question 10: Differentiate the following w.r.t. x: NCERT Solutions - Continuity & Differentiability, Exercise 5.4 JEE Notes | EduRev, x>0

Answer
Let y = NCERT Solutions - Continuity & Differentiability, Exercise 5.4 JEE Notes | EduRev
By using the chain rule, we obtain
NCERT Solutions - Continuity & Differentiability, Exercise 5.4 JEE Notes | EduRev

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