Use the first derivative to determine where the functionis increasing and decreasing.

1. Increasing _______________

2. Decreasing _______________

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- February 10th 2013, 03:08 PMspyder12First Derivative --- Increasing and Decreasing
Use the first derivative to determine where the functionis increasing and decreasing.

**1. Increasing _______________**

2. Decreasing _______________ - February 10th 2013, 03:46 PMchiroRe: First Derivative --- Increasing and Decreasing
Hey spyder12.

Try calculating the derivative first. - February 10th 2013, 03:56 PMspyder12Re: First Derivative --- Increasing and Decreasing
I actually solved the problem---

f(x)= 4x - 5x^(1/3)

derivative of f(x)= 4 - (1.66667 / x^(2/3))

x= -.268957 , .268957

f(x)= 4(-.3) - 5(-.3)^(1/3) = +

f(x)= 4(.1) - 5(.1)^(1/3) = -

f(x)= 4(.3) - 5(.3)^(1/3) = +

Increasing -**(-inf, -.268957) U (.268957, inf)**

Decreasing -**(-.268957, .268957)**