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Popular >

critical y=x^{-1}e^x

Solution

critical points

y = x^{- 1} e^{x}

Solution

x = 1

Solution steps

x^{- 1} e^{x}

Find where

f^{'} (x)

is equal to zero or undefined

x = 1, x = 0

Identify critical points not in

f (x)

domain

Domain of

x^{- 1} e^{x} : x < 0 or x > 0

x^{- 1} e^{x}

is not defined at

x = 0

, therefore:

x = 1

Popular Examples

critical f(x,y)=6x^2-9x^3y^3+3y^4 critical points

f (x, y) = 6 x^{2} - 9 x^{3} y^{3} + 3 y^{4}

critical f(x)=xe^{(-x^2)/8},-1<= x<= 4 critical points

f (x) = x e^{\frac{- x ^{2}}{8}}, - 1 \leq x \leq 4

critical f(x)= 1/(x^2-5x+6)critical points

f (x) = \frac{1}{x ^{2} - 5 x + 6}

critical f(x)=1+3y critical points

f (x) = 1 + 3 y

critical f(x)=5x^2-3y^2-30x+7y+4xy critical points

f (x) = 5 x^{2} - 3 y^{2} - 30 x + 7 y + 4 x y

Frequently Asked Questions (FAQ)

What is the critical y=x^{-1}e^x ?
The critical y=x^{-1}e^x is x=1