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

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) (1, (1/ e ))  (B) (-1, (1/ e ))  (C) ( e , e - e ) (D) none

Tardigrade Admin · Accepted Answer

Find the co-ordinates of the point P ( x ≥ 0) and use the fact that f ( x )= e -| x | is even

Q. 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

$(1, \frac{1}{e})$

$(- 1, \frac{1}{e})$

$(e, e^{- e})$

none

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

Q. 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

(1,e1​)

(−1,e1​)

(e,e−e)