Question

Find an equation of the tangent line to the given curve at the specified point: y=4xe^x at (0,0)

Answer 1

Use the following steps:

1. Differentiate y and then substitute x=0 to find the slope of the tangent line at x=0
2. Now make use of the fact that you know the slope of the tangent line and that you know it passes through (0,0) to work out the equation of the tangent line.