Calculus guides

Calculus has two core operations: differentiation, which finds instantaneous rates of change, and integration, which reverses that process and measures accumulation.

• How to Find a Derivative

  To differentiate a polynomial, apply the power rule to each term: the derivative of xⁿ is n xⁿ⁻¹. Constants differentiate to 0.

• How to Integrate a Polynomial

  The indefinite integral of xⁿ (n ≠ −1) is xⁿ⁺¹ / (n+1) plus a constant C.