If f(x) = (5x^3 - 4)^4, then what is f '(x)?

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asked Apr 26, 2018 62.9k views

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Jrudolph · Answer 1 · 2018-05-02T05:21:46+0000

You apply the rule to put the exponent in front, and lower it by one. But since this is a nested expression, you apply it twice:

4*(5x^3-4)^3 * 3*5x^2 =

60x^2 (5x^3-4)^3

If f(x) = (5x^3 - 4)^4, then what is f '(x)?

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