NCERT Class 12 Maths
Chapter 5: Continuity And Differentiability
10 Questions Solved
NCERT Solutions for Class 12 Maths Chapter 5 Continuity And Differentiability — Exercise 5.4
Click any question below for its step-by-step NCERT textbook solution, concept hints, and worked explanation.
Question 1
Differentiate \(\frac{e^{x}}{\sin{\left(x \right)}}\) with respect to x; where sin x≠0.
Question 2
Differentiate \(e^{\operatorname{asin}{\left(x \right)}}\) with respect to x; for −1<x<1.
Question 3
Differentiate \(e^{x^{3}}\) with respect to x; on R.
Question 4
Differentiate \(\frac{e^{- x}}{\sqrt{1 + e^{- 2 x}}}\) with respect to x; on R.
Question 5
Differentiate \(\log{\left(\cos{\left(e^{x} \right)} \right)}\) with respect to x; where cos(eˣ)>0.
Question 6
Differentiate \(e^{x} + e^{x^{2}} + e^{x^{3}} + e^{x^{4}} + e^{x^{5}}\) with respect to x; on R.
Question 7
Differentiate \(e^{\frac{\sqrt{x}}{2}}\) with respect to x; for x>0.
Question 8
Differentiate \(\log{\left(\log{\left(x \right)} \right)}\) with respect to x; for x>1.
Question 9
Differentiate \(\frac{\cos{\left(x \right)}}{\log{\left(x \right)}}\) with respect to x; for x>0, x≠1.
Question 10
Differentiate \(\cos{\left(e^{x} + \log{\left(x \right)} \right)}\) with respect to x; for x>0.