Hi,
I'm not sure what rules I'd use to solve down this derivative and how I'd go about employing these rules.
I need to find the derivative of:
$\displaystyle f(x)=(x^5-3x)(\frac{1}{x^2})$
If you can guide me that would be excellent. Thank you.
Hi,
I'm not sure what rules I'd use to solve down this derivative and how I'd go about employing these rules.
I need to find the derivative of:
$\displaystyle f(x)=(x^5-3x)(\frac{1}{x^2})$
If you can guide me that would be excellent. Thank you.
You could use the product rule, but it's easier just to multiply out and use the power rule. like so:
$\displaystyle \frac{d}{dx}[(x^5-3x)(\frac{1}{x^2})]=\frac{d}{dx}[(x^{-2})(x^5-3x)]=\frac{d}{dx}[(x^{5+(-2)}-3x^{1+(-2)}]$
$\displaystyle =\frac{d}{dx}[x^{3}-3x^{-1}]=3x^{2}+3x^{-2}=3x^2+\frac{3}{x^2}$