What is the stationary point of y=9x+6x^2-4x^3.need help asap

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asked Mar 7, 2015 149k views

4 votes

What is the stationary point of y=9x+6x^2-4x^3.need help asap

Mathematics
high-school

Alexalejandroem asked

by Alexalejandroem

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1 Answer

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$y=9x+6x^2-4x^3\\ y'=9+12x-12x^2\\ 9+12x-12x^2=0\\ -12x^2+12x+9=0\\ 4x^2-4x-3=0\\ 4x^2-4x+1-4=0\\ (2x-1)^2=4\\ 2x-1=2 \vee 2x-1=-2\\ 2x=3 \vee 2x=-1\\ x=(3)/(2) \vee x=-(1)/(2)$

Sayanee answered Mar 12, 2015

by Sayanee

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