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Popular >

critical x*ln(x)

Solution

critical points

x \cdot ln (x)

Solution

x = \frac{1}{e}

Solution steps

x ln (x)

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{1}{e}, x = 0

Identify critical points not in

f (x)

domain

Domain of

x \cdot ln (x) : x > 0

x \cdot ln (x)

is not defined at

x = 0

, therefore:

x = \frac{1}{e}

Graph

Popular Examples

critical h(t)=50+40t^3-5t^4-4t^5 critical points

h (t) = 50 + 40 t^{3} - 5 t^{4} - 4 t^{5}

critical R(t)=1+80t^3+5t^4-2t^5 critical points

R (t) = 1 + 80 t^{3} + 5 t^{4} - 2 t^{5}

critical f(x)=(x^3-4x^2+7x)/x critical points

f (x) = \frac{x ^{3} - 4 x ^{2} + 7 x}{x}

critical f(x)=x^3-6x+1 critical points

f (x) = x^{3} - 6 x + 1

critical f(x)=x^2+6x+10 critical points

f (x) = x^{2} + 6 x + 10

Frequently Asked Questions (FAQ)

What is the critical x*ln(x) ?
The critical x*ln(x) is x= 1/e