Finding an equation of a tangent line in exercise, find an equation of the tangent line to the graph of the function at the given point.
y = xe^x - e^x, (1, 0)

Equation of tangent:

At point (1,0):

y = 2.713

Step-by-step explanation:

The equation of tangent line to the function can be calculated by taking the first derivative.

We have,

Applying Product Rule:

d/dx [u.v] = (d/dx u) . (v) + (u) . (d/dx v)

Therefore,

The above equation is the equation of tangent line.

The point given is (1,0):

So,

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step-by-step explanation: