Intro To Calculus

Tabla de contenidos

• Derivatives

  • Slope Segments
  • Derivatives (Intro)-2
  • Intuitive Derivative Graphing Exercise
  • Intuitive Derivative Graphing Exercise: REVAMPED!!!
  • Parabola As Line Segments
  • Tangent To A Parabola
  • Derivative With Secant Lines
  • Sketch Derivative Graphs
  • Riemann Sums
  • Limits For Derivatives
  • Derivative With Limit
  • derivative sketching with coordinates

• Optimization

  • Optimization of the volume of a box
  • Optimization Cylinder Maximize Volume
  • Kopija od Optimization - Box
  • Optimize Volume Of Square Prism Given Surface Area
  • Optimize Surface Area Square Prism Given Volume
  • Optimization Minimize Surface Area Of Cylinder

• Applications Of First Derivative

  • Linearization Checker (Calculus)
  • Newton's Method One Iteration
  • Newton's Method Two Iterations

• Second Derivative

  • First Derivative and Second Derivative of a Function
  • Which is f, f', f''? Part 2 !!!
  • Which is f, f', f'' ?
  • Second Derivative Plot
  • Distance / Velocity / Acceleration Graphs
  • Distance Velocity Acceleration Piecewise

• More Complicated Derivatives

  • Derivative of Sine & Cosine Functions (Quick Investigation)
  • When does f'(x) = f(x)?
  • Product rule change in area
  • Chain Rule dy/dt

• Related Rates

  • Falling Ladder !!!
  • Related Rates (1)
  • Related Rates (2)
  • Related Rates - Square
  • Related Rates - Circle 1
  • Related Rates - Circle 2
  • Related Rates: Adjustable Cone with dh/dt Constant
  • Cone - Related Rates
  • Related Rates: Filling/Draining Cone

• Integrals

  • Riemann Sums
  • Definite Integral Illustrator (I)
  • Riemann Sums
  • Riemann Sums
  • Area Between Curves

• Applications Of Integrals

  • Finding areas between curves
  • Areas Between Curves
  • Area Between Two Curves Visualization
  • Volume of Solid of Revolution about x-axis
  • Disk/washer method for finding volume of solid of revolution
  • Volumes of Solids - Disk & Washer Method
  • Solid of revolution about y=b axis
  • Calculus: Surface of Revolution formed by Rotating Area Between 2 Functions
  • Calculus - Arc Length
  • Arc Length Visualization