MA129 Lecture Notes - Lecture 18: Power Rule, Quotient Rule, Product Rule

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Ma129 lecture 18 - techniques for finding derivatives. = 0 is an operator which needs an input (similar to how where df dx d dx. Therefore, the derivative of a constant is 0. Power rule (x) f (x) f (x) f . = n n 1 x ( 2 = 0 d dx d dx x. 4 = 4 4 1 = 4x3 x x x. = k g (g ) f (x) df dx = d. = d dx (dr. allison) (dr. allison) Sum or difference rule (x) f (x) f . Note: when answering questions, we are allowed to skip from the first step to the answer. 1 is: (dr. allison) a) b) c) d) e) True or false: the derivative of f (x)g(x) is (x)g (x) f . 2 = x fg) is not the same as. Note: the derivative of the product is not the product of derivatives. fg)

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