matthewphs857 matthewphs857

20-12-2017
Mathematics

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

Respuesta :

20-12-2017

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

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