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QuickNotes™  

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.
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