NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.7
Get Free NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.7 PDF in Hindi and English Medium. Sets Class 12 Maths NCERT Solutions are extremely helpful while doing your homework. Continuity and Differentiability Exercise 5.7 Class 12 Maths NCERT Solutions were prepared by Experienced LearnCBSE.in Teachers. Detailed answers of all the questions in Chapter 5 Class 12 Continuity and Differentiability Ex 5.7 provided in NCERT Textbook.
Free download NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.7 PDF in Hindi Medium as well as in English Medium for CBSE, Uttarakhand, Bihar, MP Board, Gujarat Board, BIE, Intermediate and UP Board students, who are using NCERT Books based on updated CBSE Syllabus for the session 2019-20.
The topics and sub-topics included in the Continuity and Differentiability chapter are the following:
- Continuity and Differentiability
- Introduction
- Algebra of continuous functions
- Differentiability
- Derivatives of composite functions
- Derivatives of implicit functions
- Derivatives of inverse trigonometric functions
- Exponential and Logarithmic Functions
- Logarithmic Differentiation
- Derivatives of Functions in Parametric Forms
- Second Order Derivative
- Mean Value Theorem
- Summary
There are total eight exercises and one misc exercise(144 Questions fully solved) in the class 12th maths chapter 5 Continuity and Differentiability.
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.7
Find the second order derivatives of the functions given in Questions 1 to 10.
Ex 5.7 Class 12 Maths Question 1.
x² + 3x + 2 = y(say)
Solution:
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Ex 5.7 Class 12 Maths Question 2.
x20 = y(say)
Solution:
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Ex 5.7 Class 12 Maths Question 3.
x.cos x = y(say)
Solution:
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Ex 5.7 Class 12 Maths Question 4.
log x = y (say)
Solution:
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Ex 5.7 Class 12 Maths Question 5.
x3 log x = y (say)
Solution:
x3 log x = y
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Ex 5.7 Class 12 Maths Question 6.
ex sin5x = y
Solution:
ex sin5x = y
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Ex 5.7 Class 12 Maths Question 7.
e6x cos3x = y
Solution:
e6x cos3x = y
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Ex 5.7 Class 12 Maths Question 8.
tan-1 x = y
Solution:
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Ex 5.7 Class 12 Maths Question 9.
log(logx) = y
Solution:
log(logx) = y
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Image may be NSFW.
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Ex 5.7 Class 12 Maths Question 10.
sin(log x) = y
Solution:
sin(log x) = y
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Ex 5.7 Class 12 Maths Question 11.
If y = 5 cosx – 3 sin x, prove that Image may be NSFW.
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Solution:
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Hence proved
Ex 5.7 Class 12 Maths Question 12.
If y = cos-1 x, Find Image may be NSFW.
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Solution:
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Ex 5.7 Class 12 Maths Question 13.
If y = 3 cos (log x) + 4 sin (log x), show that
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Solution:
Given that
y = 3 cos (log x) + 4 sin (log x)
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Ex 5.7 Class 12 Maths Question 14.
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Solution:
Given that
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Ex 5.7 Class 12 Maths Question 15.
If y = 500e7x + 600e-7x, show that Image may be NSFW.
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Solution:
we have
y = 500e7x + 600e-7x
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Ex 5.7 Class 12 Maths Question 16.
If ey(x+1) = 1,show that Image may be NSFW.
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Solution:
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Ex 5.7 Class 12 Maths Question 17.
If y=(tan-1 x)² show that (x²+1)²y2+2x(x²+1)y1=2
Solution:
we have
y=(tan-1 x)²
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NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Hindi Medium Ex 5.7
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NCERT Class 12 Maths Solutions
- Chapter 1 Relations and Functions
- Chapter 2 Inverse Trigonometric Functions
- Chapter 3 Matrices
- Chapter 4 Determinants
- Chapter 5 Continuity and Differentiability
- Chapter 6 Application of Derivatives
- Chapter 7 Integrals Ex 7.1
- Chapter 8 Application of Integrals
- Chapter 9 Differential Equations
- Chapter 10 Vector Algebra
- Chapter 11 Three Dimensional Geometry
- Chapter 12 Linear Programming
- Chapter 13 Probability Ex 13.1
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