# How do you find the equation of the tangent line to the curve #y=x^2e^-x# at (1, 1/e)?

##### 1 Answer

Apr 20, 2017

#### Explanation:

By Product Rule,

To find an equation of a line, we need two things:

- Point:
#(x_1,y_1)=(1,1/e)# - Slope:
#m=y'(1)=(2-1)cdot1cdot e^{-1}=1/e#

By Point-Slope Form:

By adding

I hope that this was clear.