What is the extreme f(x)=14x+15x^{14/15} ?

The extreme f(x)=14x+15x^{14/15} is Minimum(-1,1),Maximum(0,0)

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extreme f(x)=14x+15x^{14/15}

extreme points

f (x) = 14 x + 15 x^{\frac{14}{15}}

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

Solution steps

f^{'} (x) = 14 + \frac{14}{x ^{\frac{1}{15}}}

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < \infty

Plug

x = - 1

into

14 x + 15 x^{\frac{14}{15}} : 1

Minimum (- 1, 1)

Plug

x = 0

into

14 x + 15 x^{\frac{14}{15}} : 0

Maximum (0, 0)

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

f (x) = \frac{x ^{3}}{3} + \frac{15 x ^{2}}{2} + 50 x - 2

y = x^{\frac{6}{7}} (x^{2} - 4)

f (x) = 3 x^{3} - 3 x^{2} - 3 x + 2

f (x) = 3 x^{3} - 3 x^{2} - 3 x + 8

f (x, y) = x^{2} + (y - 1)^{2}

What is the extreme f(x)=14x+15x^{14/15} ?
The extreme f(x)=14x+15x^{14/15} is Minimum(-1,1),Maximum(0,0)