Question

diff -3x/x^2

Answer 1

differentiate?

Answer 2

yes please, i'm stuck on this step :/

Answer 3

i know you can simplify to -3/x

Answer 4

\[\large f(x) = \frac{-3x}{x^2}\] use the quotient rule.

Answer 5

ok thanks

Answer 6

no problem.

\[\large D_{x} (f(x)) = D_{x}\left(-\frac{3x}{x^2}\right)\]
\[\large \frac{\frac{d}{dx}(-3x)\cdot (x^2) -\frac{d}{dx}(x^2)\cdot (-3x)}{(x^2)^2}\]

another way is just to use the power rule after getting rid of the fraction. \[\large -3x(x^{-2})\] and then with this, use the product rule.\[\large f'g + g'f\]\[\large \frac{d}{dx}(-3x)\cdot x^{-2} + \frac{d}{dx} (x^{-2})\cdot (-3x)\]