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JEE Advanced (IIT-JEE)

Differential Calculus

No official chapter weightage

Limits and continuity, differentiation and its rules, and applications: tangents, monotonicity, maxima and minima, and the mean value theorems.

f′(c)=f(b)−f(a)b−a,ddx f(g(x))=f′(g(x)) g′(x)f'(c) = \frac{f(b) - f(a)}{b - a}, \quad \frac{d}{dx}\,f(g(x)) = f'(g(x))\,g'(x)

What this unit covers

  • Limits and continuity of functions; L'Hospital's rule; intermediate value property

  • Derivatives of polynomial, rational, trigonometric, inverse trigonometric, exponential and logarithmic functions; chain rule

  • Tangents and normals; increasing and decreasing functions; maxima and minima; second-order derivatives

  • Rolle's theorem and Lagrange's mean value theorem; derivatives of implicit functions

Other units in JEE Advanced (IIT-JEE)