help please and thank you!!

y=e^x

find the equation of the tangent line at x=0

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- Oct 30th 2008, 08:25 PMcottekrfinding the equation of a tangent line
help please and thank you!!

y=e^x

find the equation of the tangent line at x=0 - Oct 30th 2008, 08:32 PMProve It
A tangent line is a straight line, so is of the form

where m is the gradient and c is the y-intercept.

To find the gradient of this tangent, we need to differentiate the function and evaluate it at that point.

so .

At the point , .

So the gradient of the tangent at is 1.

We know that when , so the y-intercept is 1.

Thus the equation of the tangent is

- Oct 30th 2008, 11:44 PMWWTL@WHL
Eqn of tangent line: where is the gradient at the point

When , y=

at

So the equation of the tangent line is