Differentiating Exponential Functions with Fractional Exponents

[afcwestwarrior]

y=ex(x is suppost to be smaller and on the top right of e)/x squared

i a suppost to differentiate this, well i wrote -2ex/x cubed+ ex/ x sq.

now u probabl might be confused by the way i wrote it since i don't know how to put the right things for my problems,

well i set up the problem how do i figure out the answer,

i know the answer but how do i figure it out

 

[ranger]

Is this what you are getting at y = e^x/x²?

Would it help if you rewrite it as a product rule:
e^x.x^-2

 

[cristo]

i a suppost to differentiate this, well i wrote -2ex/x cubed+ ex/ x sq.

This is correct.

 

[Gib Z]

i know the answer but how do i figure it out

$$y=\frac{e^x}{x^2}$$
Let $u=e^x$ and $v=x^2$.

By the quotient rule, the derivative is $$\frac{u'v-v'u}{v^2}$$

 

[cristo]

i know the answer but how do i figure it out

I must've skipped over this, and so didn't notice that you wanted to know how to get the answer!

Well, anyway, now you've got two ways; using the product rule as shown by ranger, or the quotient rule given by Gib Z.