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### Kinematics Equation Of Calculus

• The derivative has a geometric interpretation in terms of the slope of the tangent to a graph. A function f(x) has a minimum or a maximum at values of x where the derivative f’(x) vanishes.
• The derivative of the product of two functions u(x) and v(x) is (uv)’ = u’v + uv’.
• The derivative of the quotient of two functions is (u/v)’ = (u’v – uv’)/(v*v).
• Equations relating x, v, a, and t, may be derived using derivatives.

### Kinematics Equation Of Calculus

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• Intro 0:00
• The Derivative 0:12
• Idea of a Derivative
• Derivative of a function X= df/dx
• Example: F(x)=Constant c
• Example: F(x)= X
• Example: F(x)= AX
• Example: F(x)= X squared
• Example: F(x)= X cubed
• Example: F(x) =SinX
• Example: F(x) =CosX
• Product of Functions 16:56
• Example: F(x) = X (squared) Sin X
• Quotient Rule 23:03
• Example: F(x)=uV-vU/V2
• Kinematics of Equation 25:10
• First Kinematic Equation : V=Vo+aT
• Extra Example 1: Particle on X-Axis
• Extra Example 2: Graphical Analysis