Solution assignment 19 Differentiation of standard functions

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Assignment 19

Differentiate:

$y=\displaystyle\frac{1}{x^3}$

Solution

This function is not in the list of standard functions but can be rewritten as:

$y=x^{-3}$

which is a standard function and its derivative is:

$y'=-3x^{-4}=-\displaystyle\frac{3}{x^4}$

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