MediumDifferentiation rules

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §6.2 The Exponential e, #37 · Calculus · Differentiation rules

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Compare $e^{- x}$ with $e^{- x^{2}}$ . Which one decreases faster near $x = 0$ ? Where do the graphs meet again? When is the ratio of $e^{- x^{2}}$ to $e^{- x}$ less than $1/100$ ?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §6.2 The Exponential e, #37

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