Author name: Study Frost

Here is the complete ML Aggarwal Class 12 Solutions of Exercise – 5.7 for Chapter 5 – Continuity and Differentiability. Each question is solved step by step for better understanding. Question: 1. (i) Find the domain of differentiability of \( \sin^{-1} x \). Solution: The function \( \sin^{-1} x \) has the derivative \[ \frac{d}{dx}\sin^{-1} […]

Here is the complete ML Aggarwal Class 12 Solutions of Exercise – 5.6 for Chapter 5 – Continuity and Differentiability. Each question is solved step by step for better understanding. Question 1.(i): If \( f(x)=\sqrt{4-x^{2}}, \; x \in (-2,2) \), find \( f'(x) \). Solution: We have \( f(x)=\sqrt{4-x^2}=(4-x^2)^{\frac{1}{2}} \). Differentiating using the chain rule:

Here is the complete ML Aggarwal Class 12 Solutions of Exercise – 5.5 for Chapter 5 – Continuity and Differentiability. Each question is solved step by step for better understanding. Question: 1. (i) Differentiate \( 5 \tan x – 3 \sin x + 4 x^{\frac{3}{2}} \). Solution: We differentiate each term individually: \[ \frac{d}{dx}(5 \tan

Here is the complete ML Aggarwal Class 12 Solutions of Exercise – 5.4 for Chapter 5 – Continuity and Differentiability. Each question is solved step by step for better understanding. Question: 1. If a function is derivable at a point, is it necessary that it must be continuous at that point? Solution: If a function

Here is the complete ML Aggarwal Class 12 Solutions of Exercise – 5.3 for Chapter 5 – Continuity and Differentiability. Each question is solved step by step for better understanding. Question: 1. Is \( \tan x \) a continuous function? Solution: \( \tan x \) is continuous on its domain (where \( \cos x \neq

Here is the complete ML Aggarwal Class 12 Solutions of Exercise – 5.3 for Chapter 5 – Continuity and Differentiability. Each question is solved step by step for better understanding. Question: 1. (i) Is the function \( f \) defined by \( f(x) = \lfloor x \rfloor \) continuous at \( x=0 \) Solution: The