How do you find the derivative of $f(x)=x^-100$ ?

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Answer 1 · 2018-04-10T13:09:34

$f'(x)=-100x^(-101)$

$"differentiate using the "color(blue)"power rule"$

$•color(white)(x)d/dx(ax^n)=nax^(n-1)$

$rArrf'(x)=-100x^((-100-1))=-100x^(-101)$

How do you find the derivative of f(x)=x^-100f(x)=x^-100?