"Find the equation of the tangent line to the graph of at the point at which x=0."

I thought I had started off doing this right, but I must've messed up somewhere.

Don't I need to find the derivative of the function and then evaluate it at x=0?

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- Nov 15th 2009, 12:37 PMRumorEquation of a tangent line at a certain point.
"Find the equation of the tangent line to the graph of at the point at which x=0."

I thought I had started off doing this right, but I must've messed up somewhere.

Don't I need to find the derivative of the function and then evaluate it at x=0? - Nov 15th 2009, 12:44 PMpickslides
The equation of a tangent for this function is

Does this help? - Nov 15th 2009, 12:54 PMRumor
Well, I can form the tangent line once I have the values. But I think I'm coming out with the wrong values.

Could you check my work below?

To get the derivative, you must use the quotient rule.

So you end up with , which simplifies to and then . Is this right? - Nov 15th 2009, 01:02 PMpickslides
You have expanded the function incorrectly.

I get