← JEE Class JEE
Calculus
Chapter Overview
Limits: standard limits, L'Hospitals rule. Continuity and differentiability. Differentiation: chain rule, implicit, parametric, logarithmic. Applications: tangents, normals, monotonicity, maxima/minima, Rolles theorem, LMVT. Integration: methods, definite integrals, area under curves. Differential equations: order, degree, various solution methods.
Topics Covered
- Limits and Standard Limits
- L''Hospital Rule
- Continuity
- Differentiability
- Differentiation Rules
- Tangents and Normals
- Monotonic Functions
- Maxima and Minima
- Integration Methods
- Definite Integrals
- Area Under Curves
- Differential Equations
Key Formulas
lim (sin x/x) = 1
lim (1+1/n)n = e
f'(x) = lim (f(x+h)-f(x))/h
int_ab f(x) dx = F(b)-F(a)
Real-World Applications
Applications: JEE problem solving, physics, engineering, optimization.
Study Tips
Tip: Master standard limits
Tip: Practice all integration methods
Tip: Solve JEE previous year calculus problems