# How do you find the equation of the tangent line to the graph #y=xe^x-e^x# through point (1,0)?

##### 1 Answer

#### Explanation:

Recall that the product rule states that for the function

For this function, if

Factor out

Apply the product rule to differentiate

Simplify

Recall that the derivative of a function at a point is equal to the rate of change of that function at that point. In other words, the derivative of

Since we have found the derivative function of

Now, we have the slope of a line and one point that it goes through. We can apply the point-slope form of a line to find its equation.

where:

Subbing in, we get: