Question

The co-ordinates of the point $P$ on the graph of the function $y=e^{-|x|}$ where the portion of the tangent intercepted between the co-ordinate axes has the greatest area, is

• A. $\left(1, \frac{1}{ e }\right) $
• B. $\left(-1, \frac{1}{ e }\right) $
• C. $\left( e , e ^{- e }\right)$
• D. none

Answer 1

Answer: (A), (B)

Find the co-ordinates of the point $P ( x \geq 0)$ and use the fact that $f ( x )= e ^{-| x |}$ is even