Tuesday

March 31, 2015

March 31, 2015

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

**Answer this Question**

**Related Questions**

Calculus - Find the critical numbers of the function. (Enter your answers as a ...

pre-calculas - Find the slant asymptote, if any, of the rational function. Do ...

help ? - Let f(x) = (x − 3)^−2.Find all values of c in (1, 4) such ...

calculus - Let f(x) = (x − 3)−2. Find all values of c in (2, 5) such...

calculus - Determine the value(s) of x where the function will have an ...

Math - Find any critical numbers of the function. (Enter your answers as a comma...

Calculus URGENT - Find the number c that satisfies the conclusion of the Mean ...

Calculas - Find any critical numbers of the function. (Enter your answers as a ...

calculus - Find any critical numbers of the function. (Enter your answers as a ...

Business - Given y = 4x3 − 48x2 + 5. (a) Find the critical values of the ...