What is the extreme f(x)=16x+17x^{16/17} ?

The extreme f(x)=16x+17x^{16/17} is Minimum(-1,1),Maximum(0,0)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme f(x)=16x+17x^{16/17}

extreme

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

Solution steps

f^{'} (x) = 16 + \frac{16}{x ^{\frac{1}{17}}}

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < \infty

Plug

x = - 1

into

16 x + 17 x^{\frac{16}{17}} : 1

Minimum (- 1, 1)

Plug

x = 0

into

16 x + 17 x^{\frac{16}{17}} : 0

Maximum (0, 0)

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

What is the extreme f(x)=16x+17x^{16/17} ?
The extreme f(x)=16x+17x^{16/17} is Minimum(-1,1),Maximum(0,0)