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## Homework Statement

Find the equation of the tangent line at the curve y= x * e^(2x) at the point (2, 2*e^(4))

## Homework Equations

## The Attempt at a Solution

f'(x)= e^(2x) * (2x+ 1)

(e^4)(5) = 5e^4

y- 2*e^4 = 5*e^4 (x-2)

y= 5(e^4)*x - 8*(e^4)

Is this right? It seems too easy for me to have gotten it right :/ Thanks.