What is the extreme f(x)=14x+19x^{14/19} ?

The extreme f(x)=14x+19x^{14/19} is Minimum(-1,5),Maximum(0,0)

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extreme f(x)=14x+19x^{14/19}

extreme

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

Solution steps

f^{'} (x) = 14 + \frac{14}{x ^{\frac{5}{19}}}

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < \infty

Plug

x = - 1

into

14 x + 19 x^{\frac{14}{19}} : 5

Minimum (- 1, 5)

Plug

x = 0

into

14 x + 19 x^{\frac{14}{19}} : 0

Maximum (0, 0)

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

What is the extreme f(x)=14x+19x^{14/19} ?
The extreme f(x)=14x+19x^{14/19} is Minimum(-1,5),Maximum(0,0)