# what is wrong with my derivative?!!!

I have a question which want to derivative $\left(\frac{3x-2}{5x}\right)$ what I get is $\left(\frac{3\left(5x\right)-5\left(3x-2\right)}{\left(5x\right)^2}\right)$ then $\left(\frac{15x-15x+10}{\left(5x\right)^2}\right)$ and finally $\left(\frac{10}{\left(5x\right)^2}\right)$

BUT the correct answer is $\frac{2}{5x^2}$

how it's come?!!

• Don't forget to expand the square $(5x)^2$, then simplify the fraction. You should get the same answer. – Nicholas Nov 17 '15 at 15:40
• Hey, I was about to type that. – Pieter21 Nov 17 '15 at 15:41

You are not wrong because $$\frac{10}{(5x)^2} = \frac{2}{5x^2}$$