Continuity And Differentiability
Mathematics — topic guides, questions, and exam chapters with this tag
Topic guide
Continuity and Differentiability — Tests, Chain Rule, Implicit Differentiation
Continuity and Differentiability — Tests, Chain Rule, Implicit Differentiation
Solved questions
Show that f(x)=|x| is continuous but not differentiable at x=0
If f(x) is continuous at x=2 but not differentiable, sketch possible graphs
JEE Main 2022
Continuity and differentiability of |x| at x = 0 — graphical explanation
NCERT Class 12
Logarithmic Differentiation — Find dy/dx if y = xˣ
JEE Main 2023
Mean Value Theorem — Find c for f(x) = x³ on [0,2]
CBSE 2025 Sample Paper
Differentiate log(sin x) Using Chain Rule
CBSE 2024 Board Exam
Rolle's Theorem — Verify for f(x) = x² - 4x + 3 on [1,3]
JEE Main 2024
Check Continuity of f(x) = |x| at x = 0
NCERT Class 12