# Thread: Maximum value of the triangle

1. ## Maximum value of the triangle

the max of the areas of the isosceles triangles lying between the curve y=e^-x and the x axis with base on the positive x axis is?

2. Originally Posted by champrock
the max of the areas of the isosceles triangles lying between the curve y=e^-x and the x axis with base on the positive x axis is?
base = $x$

height = $e^{-\frac{x}{2}}$

$A = \frac{1}{2} x e^{-\frac{x}{2}}$

find $\frac{dA}{dx}$ and maximize