Class 11 Maths Chapter 12 Limits and Derivatives – Revision Notes

Quick revision notes for Class 11 Maths Chapter 12 (Limits and Derivatives). These Class 11 Maths Chapter 12 notes are ideal for quick revision just before exams.

Limits

• lim_x→a f(x): value f(x) approaches as x→a.
• Algebra of limits: sum/product/quotient rules apply term-wise.

Standard Limits

• lim_x→0 sinx/x = 1.
• lim_x→a (xⁿ−aⁿ)/(x−a) = naⁿ⁻¹.

Derivatives

• f'(x) = lim_h→0 [f(x+h)−f(x)]/h.
• d/dx(xⁿ) = nxⁿ⁻¹; d/dx(sinx)=cosx; d/dx(cosx)=−sinx; d/dx(constant)=0.

One-Line Summary

Limits describe the value a function approaches, forming the foundation for derivatives, which measure a function’s exact instantaneous rate of change (slope of the tangent) using a limiting process.

Written by Satish

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