Question

Find triangle of largest area

Answer 1

So
\[y = 7e^{-x}\]

The line tangent to that, I take the derivative:
\[\frac{ dy }{ dx } = -7e^{-x}\]

Answer 2

Area of a Triangle
\[\frac{ 1 }{ 2 } b h\]
so
\[\frac{ 1 }{ 2 } x \left( 7e^{-x} \right) ?\]

Answer 3

@ganeshie8 ?

Answer 4

@Callisto @iambatman @dumbcow

Answer 5

@jim_thompson5910 @UnkleRhaukus @wio @sammixboo

Answer 6

actually that tangent line is wrong, but I'm very confused as to how to do this question

Answer 7

your method looks good

Answer 8

but keep in mind that the tangent line passes through the point on curve

Answer 9

What do I do next?