MAT 1339 Lecture Notes - Lecture 6: Power Rule, Product Rule, Quotient Rule
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Mat1339 - lecture 6 - rules of derivatives. Derivatives: the instantaneous rate of change or the slope at a certain point on the graph. They allow us to compute the rate of change. Basic rules that you need to apply when doing derivatives: The rate of change of a constant is always 0. The function is equal to its own derivative. Example: find the slope of the tangent of. Now, find the equation of the tangent line of h(x) is the product of f(x) = x and g(x) = Important: the derivative isn"t the product of the derivatives. Example #3: to find the derivative when you don"t have the formula you need to plug in. You can"t apply the product rule if you have more than one symbol in the denominator because factor 2 would have to be many factors. Important: the derivative isn"t the quotient of the derivatives. Example #1: you don"t include the fraction in the factor.