What is the extreme f(x)=10x+13x^{10/13} ?

The extreme f(x)=10x+13x^{10/13} is Minimum(-1,3),Maximum(0,0)

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extreme f(x)=10x+13x^{10/13}

extreme

Minimum (- 1, 3), Maximum (0, 0)

Solution steps

f^{'} (x) = 10 + \frac{10}{x ^{\frac{3}{13}}}

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < \infty

Plug

x = - 1

into

10 x + 13 x^{\frac{10}{13}} : 3

Minimum (- 1, 3)

Plug

x = 0

into

10 x + 13 x^{\frac{10}{13}} : 0

Maximum (0, 0)

Minimum (- 1, 3), Maximum (0, 0)

What is the extreme f(x)=10x+13x^{10/13} ?
The extreme f(x)=10x+13x^{10/13} is Minimum(-1,3),Maximum(0,0)