Minimum of Rational Function

Algebra Level 1

What is the minimum value of y = x 2 x 8 y=\frac{x^2}{x-8} when x > 8 x>8 ?

31 30 29 32

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1 solution

Hello, as y= x^2 / x-8,(differentiate(quotient rule)), y'= x^2 - 16x / (x-8)^2,

for minimum value,

y'=0, x^2 - 16X / (x - 8) ^2 =0,

x^2 - 16x=0, x(x-16)=0, x=0 or x=16,as stated x>8, take x=16,

minimum value=y=(16)^2 / 8 =32,

thanks...

SAME

Faisal Ahmed - 7 years, 2 months ago

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