Question

differentiate 4x+6/x^2

Answer 1

4x-12/x^3?

Answer 2

Wait a minute.... If your problem \[4x+\frac{6}{x^2}\] oris it \[\frac{4x+6}{x^2}\]

Answer 3

the first one

Answer 4

Alright, then that's different.

Answer 5

Take the derivative with respect to each part. \[\frac{d}{dx}(4x) +6\frac{d}{dx}\left(\frac{1}{x^2}\right)\]

Answer 6

The derivative of x is just 1, so \(\frac{d}{dx}(4x)=4\)

\[6\cdot \frac{d}{dx}\left(\frac{1}{x^2}\right)=6\cdot \frac{d}{dx}(x^{-2})\]

So what is the derivative of x\(^{-2}\)?

Answer 7

And yeah, I hadnt bothered solving it, so I was working it out here. But you are correct.