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October 20, 2014

October 20, 2014

Posted by **AH** on Saturday, November 10, 2012 at 2:29am.

f(x)=x^(4/5)(x − 6)^2

- Math -
**Reiny**, Saturday, November 10, 2012 at 8:33amby the product rule ....

f ' (x) = x^(4/5) (2)(x-6) + (4/5)x^(-1/5) (x-6)^2

= (-1/5)x^(-1/5) (x-6) [10x + 4(x-6) ]

= (-2/5)x^(-1/5) (x-6) (7x-12)

= 0 for critical numbers (max,min)

-1/5x^(-1/5) = 0 ---> no solution

x-6 = 0 ---> x = 6

7x-12=0 ---> x = 12/7

take it from there

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