Find the equation of the line tangent to f(x)=x/((x^2)+3) at (0,0)

Question

moonlitfate · Answer

Just be sure, the function given is: $$f(x) = \frac{ x }{ x^2+3 }$$

moonlitfate · Answer

And this is for Calculus?

moonlitfate · Answer

If it is, then the first thing that you are going to do is take the derivative of the function using the quotient rule.

moonlitfate · Answer

@jazzie -- do you know how to do that?

anonymous · Answer

Yes this is for calculus ! I am preparing for a test and am kinda lost when it comes to this
@MoonlitFate

moonlitfate · Answer

Ah, okay.  Well, does taking the derivative of that confuse you?

anonymous · Answer

Isnt the derivative (3-x^2)/((x^2) +3)^2)

moonlitfate · Answer

Yes.  Sorry, I was working it out.

moonlitfate · Answer

Okay, I'm used to doing simpler problems, but what I would usually do is set x to 0 in the derivative and work it out to get the y-intercept.

anonymous · Answer

Okay if it helps these are my options
 x – 3y = 0

 y – 3x = 0

 x + 3y = 0

 y + 3x = 0

 Does not exist.

moonlitfate · Answer

I got does not exist; but, I'll verify it, real quick.

moonlitfate · Answer

Hmm, I did that wrong...

anonymous · Answer

Okay the tangent is where the two lines touch ?

moonlitfate · Answer

The tangent line is a line that touches a curve at a certain, but it doesn't cross over it.

anonymous · Answer

they just touch. okay so i could graph it and find the point ?