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  4. The coordinates of the point P on the graph of the function y =e-| x |, where area of triangle made by tangent and the coordinate axis has the greatest area, is -

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Q. The coordinates of the point $P$ on the graph of the function $y =e^{-| x |}$, where area of triangle made by tangent and the coordinate axis has the greatest area, is -

Application of Derivatives

Solution:

Correct answer is (a) $\left(1, \frac{1}{e}\right)$Correct answer is (b) $\left(-1, \frac{1}{e}\right)$