One Minute Math
Calculus Topics

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Finding Derivatives

Derivative Applications

  • Equation of the Tangent Line

  • Instantaneous Rate of Change

  • Related Rates

    • Volume/Area and Radius Problems

    • The Falling Ladder Problem

    • The Cone Filling Problem

  • Finding Maxima and Minima

  • First Derivative Test

  • Concavity

  • Second Derivative Test

  • Reading the Derivative Graph

  • Optimization

    • The Fence Building Problem

    • The Box Construction Problem

  • The Mean Value Theorem

Introduction to antiderivatives

  • The Antiderivative Function

  • What is an Indefinite Integral?

  • Power Rule for Integrals

  • Properties of Integrals

  • Trigonometric Integrals

  • Other Important Integrals

Areas under Curves

  • Geometric Approach

  • Approximating Area with Rectangles

  • The Reimann Sum

  • LRAM and RRAM

  • The Midpoint Estimate

  • The Definite Integral

  • Properties of the Definite Integral

  • The Fundamental Theorem of Calculus Part 1

  • The Fundamental Theorem of Calculus Part 2