Differential Calculus
Limit of a function; continuity; limit and continuity of sum, difference, product, quotient; L'Hopital's rule; continuity of composite functions; intermediate value property; derivatives — sum, difference, product, quotient, chain rule; derivatives of polynomial, rational, trigonometric, inverse trigonometric, exponential and logarithmic functions; tangents and normals; increasing and decreasing functions; derivatives of order two; maxima and minima; Rolle's and Lagrange's mean value theorems; derivatives of implicit functions up to order two.
Test yourself on Differential Calculus
5 real JEE Advanced questions with instant answers — no signup, ~3 minutes.
Study notes are still being prepared.
Don't wait — Shishya can teach you this topic right now, on demand.
Ask Shishya to teach this →Need more? Ask Shishya
Shishya is your personal tutor for this topic. Pick a starter or open a free chat.
- Go deeper on this topicGo deeper on Differential Calculus for JEE Advanced — examples and edge cases I should know.
- Show me exam shortcutsGive me 3 fastest shortcuts to solve Differential Calculus questions in the exam.
- What mistakes should I avoid?What are the most common mistakes students make on Differential Calculus? How do I avoid them?
- Quiz me adaptivelyQuiz me on Differential Calculus — start with one easy question, then go harder based on how I answer.
Practice this topic
Take a full mock →Q1 · Differential Calculus · MEDIUM
Let f : ℝ → ℝ be a differentiable function such that f(x + y) = f(x)f(y) for all x, y ∈ ℝ and f(0) = 1, f'(0) = 3. Then f(2) equals
Q2 · Differential Calculus · EASY
If y = x³ + 3x² - 9x + 7, then the function is strictly decreasing in the interval