How do you find the derivative of $f (x) = \frac{1}{x^{5}}$ $f(x)=1/x^5$ ?

Question

3498 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-10-22T21:57:45

$f'(x)=-5/x^6$

$1/x^5$ is the same as $x^-5$

$:.f(x)=x^-5$

$f'(x)=-5x^-6=-5/x^6$

Let $u=1, v=x^5$

$f'(x)=((0)x^5-(1)5x^4)/x^10$

$=(-5x^4)/x^10=-5/x^6$

How do you find the derivative of f(x)=1/x^5f(x)=1x5f(x)=1/x^5?