Limits and Derivatives
Speed at a single instant and the slope of a curve at one point both ask what happens as a gap shrinks to nothing. Chapter 12, Limits and Derivatives, of the NCERT Mathematics textbook for Class 11 makes that question precise. You will evaluate limits of algebraic, trigonometric and rational functions, use the algebra of limits and standard results, define the derivative from first principles as a rate of change, and apply the sum, product and quotient rules to polynomials and simple functions.
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