NCERT Class 12 Maths
Chapter 5: Continuity And Differentiability
15 Questions Solved
NCERT Solutions for Class 12 Maths Chapter 5 Continuity And Differentiability — Exercise 5.3
Click any question below for its step-by-step NCERT textbook solution, concept hints, and worked explanation.
Question 1
Find dy/dx for \(2 x + 3 y - \sin{\left(x \right)} = 0\).
Question 2
Find dy/dx for \(2 x + 3 y - \sin{\left(y \right)} = 0\).
Question 3
Find dy/dx for \(a x + b y^{2} - \cos{\left(y \right)} = 0\).
Question 4
Find dy/dx for \(x y + y^{2} - y - \tan{\left(x \right)} = 0\).
Question 5
Find dy/dx for \(x^{2} + x y + y^{2} - 100 = 0\).
Question 6
Find dy/dx for \(x^{3} + x^{2} y + x y^{2} + y^{3} - 81 = 0\).
Question 7
Find dy/dx for \(- \kappa + \sin^{2}{\left(y \right)} + \cos{\left(x y \right)} = 0\).
Question 8
Find dy/dx for \(\sin^{2}{\left(x \right)} + \cos^{2}{\left(y \right)} - 1 = 0\).
Question 9
Differentiate y=sin⁻¹(2x/(1+x²)).
Question 10
Differentiate y=tan⁻¹((3x−x³)/(1−3x²)), −1/√3<x<1/√3.
Question 11
Differentiate y=cos⁻¹((1−x²)/(1+x²)), 0<x<1.
Question 12
Differentiate y=sin⁻¹((1−x²)/(1+x²)), 0<x<1.
Question 13
Differentiate y=cos⁻¹(2x/(1+x²)), −1<x<1.
Question 14
Differentiate y=sin⁻¹(2x√(1−x²)), −1/√2<x<1/√2.
Question 15
Differentiate y=sec⁻¹(1/(2x²−1)), 0<x<1/√2.