help please and thank you!!
y=e^x
find the equation of the tangent line at x=0
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