Question

Find the equation of the tangent line to the graph of f at x=a

f(x) = xe^x
a=0

Answer 1

You find the slope of the tangent line by taking
\[f \prime(0)\]
the tangent line must then run through the point f(0) so you use this point and the slope to construct the equation for a straight line

Answer 2

I'm not sure how to do it, thats why im asking the question

Answer 3

well I can help guide you through the question but wont give you the answer. Do you know how to take the derivative?

Answer 4

You use the product rule:

\[f(x) = AB -> f \prime (x) = A \prime B + AB\prime\]