Calculus Introduction

The derivative measures the rate of change or slope of a function at a point. It represents instantaneous rate of change.

The integral represents the area under a curve or the accumulation of quantities. It's the reverse operation of differentiation.

A limit describes the value a function approaches as the input approaches some value. Fundamental concept for defining derivatives and integrals.

If f(x) = x^n, then f'(x) = nx^(n-1). Example: derivative of x³ is 3x².

It links differentiation and integration: the integral of a function's derivative gives back the original function (plus constant).