In this section we cover all of the key topics we'll need to know when studying *calculus*. *Differentiation* and *derivatives*, *Integration* and *integrals*, as well as the *applications* of these are all covered here.

Scroll down to see all of the topics covered.

What's a derivative? Differentiation from First Principles

Power Rule for Differentiation

Operations with Derivatives

Tangents and Normals to Curves

Stationary Points

Higher Derivatives

Curvature and the Second Derivative Test

Points of Inflexion

Product Rule for Differentiation

Quotient Rule for Differentiation

Chain Rule for Differentiation

Implicit Differentiation

What's Integration? What's an Integral?

Power Rule for Integration

Antiderivatives for Standard Functions

Definite Integrals

Areas Enclosed by Curves and the \(x\)-axis

Area Enclosed Between Two Curves

Volumes of Revolution About the \(x\)-axis

Volumes of Revolution About the \(y\)-axis

Antiderivatives of Inverse Trigonometric Functions

Integration by Substitution: U Substitution

Integration by Substitution: Radical Functions
Integration by Parts

Special Cases: Splitting the Numerator