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For more information, please see full course syllabus of AP Physics C/Mechanics
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Lecture Comments (1)

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Post by Cesar Nunez on September 23, 2011

Wonderful. I thank God for your compassion to teach so diligently and thoroughly. Thank you.

Derivatives

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

  • Intro 0:00
  • Definition and Geometric Interpretation 1:06
    • Example: F(x) is a Polynomial
    • Example: Parabola
    • F(x+h)
    • F(x+h)-F(x)/h
    • Slope of the Tangent
    • df/dx=f'
  • Derivatives of Power of x 13:11
    • F(x)=1 or Any Constant =0
    • F(x) =x = 1
    • F(x)= x2 = 2x
    • F(x)= x3 = 3x2
  • Derivatives of Sin(x), Cos(x) , Exp(x) 22:40
    • f(x)=Six x =cos(x)
    • Cos(x)=1 X= in Radians
    • Sin(x)=1 X= in Radians
    • e^x where x= in Radians
  • Derivative of u(x) v(x) 39:17
    • Derivative of Product of Two Functions f(x) =x^2 Sin(x)
  • Derivative of u(x)/v(x) 46:15
    • F(u/v)= f(u(x+h)/v(x+h)
  • Chain Rule 51:40
    • Example: F(x) =(x^2-1)^5
    • F(x)=Sin 3x
    • F(x) =e^-2x
  • Extra Example 1: Minima and Maxima
  • Extra Example 2: Derivative
  • Extra Example 3: Fermat's Principle to Derive Snell's Law