Derivatives

Derivative

  • The derivative: An intuitive introduction (videos&tests): here

  • Formal definition of the derivative as a limit(videos&tests): here

  • Tangent slope as limiting value of secant slope example: here

  • Differentiability at a point: graphical (Unit): here

  • Figuring out which function is the derivative: here

  • The derivative of f(x)=x^2 for any x: here

  • The power rule: here

  • Derivatives of cos(x), sin(x), 𝑒ˣ, and ln(x)

  • Differentiate integer powers (mixed positive and negative): test

  • Tangents of polynomials: test

  • Product rule: here

  • Quotient rule: here

  • Quotient rule: test

  • Chain rule: unit

  • Derivatives of inverse functions: here

  • Derivatives of inverse functions: from equation: here

  • Critical points (videos and tests)

    • Introduction: video

    • Finding critical points: video

    • Finding critical points: test

    • Relative minima & maxima: tutorial

    • Relative minima & maxima: test

  • Finding increasing interval given the derivative: video


Applying differentiation in different fields(videos and tests)

  • Modelli differenziali (appunti): qui

  • Derivative and marginal cost: video

  • Approximating incremental cost with derivative: video

  • Modelling a forgetting curve: video

  • Applications of differentiation in biology, economics, physics, etc.: test

  • Related rates (Unit): here

  • Local linearization (Unit): here