Question

differentiate the function.
g(x)=5x^{-3}(x^{4}-5x^{3}+14x - 4)
g(x)=□

Explanation:

Step1: Expand the function

$g(x)=5x^{-3}(x^{4}-5x^{3}+14x - 4)=5x - 25+70x^{-2}-20x^{-3}$

Step2: Differentiate term - by - term

$g'(x)=5+0 - 140x^{-3}+60x^{-4}$

Answer:

$5-\frac{140}{x^{3}}+\frac{60}{x^{4}}$