What is the extreme f(x)=6x+11x^{6/11} ?

The extreme f(x)=6x+11x^{6/11} is Minimum(-1,5),Maximum(0,0)

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extreme f(x)=6x+11x^{6/11}

extreme points

f (x) = 6 x + 11 x^{\frac{6}{11}}

Minimum (- 1, 5), Maximum (0, 0)

Solution steps

f^{'} (x) = 6 + \frac{6}{x ^{\frac{5}{11}}}

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < \infty

Plug

x = - 1

into

6 x + 11 x^{\frac{6}{11}} : 5

Minimum (- 1, 5)

Plug

x = 0

into

6 x + 11 x^{\frac{6}{11}} : 0

Maximum (0, 0)

Minimum (- 1, 5), Maximum (0, 0)

What is the extreme f(x)=6x+11x^{6/11} ?
The extreme f(x)=6x+11x^{6/11} is Minimum(-1,5),Maximum(0,0)