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Popular >

extreme f(x)=-8x^{6/5}+4x^{2/5}

Solution

extreme points

f (x) = - 8 x^{\frac{6}{5}} + 4 x^{\frac{2}{5}}

Solution

Solution steps

f^{'} (x) = \frac{- 48 x ^{\frac{4}{5}} + 8}{5 x ^{\frac{3}{5}}}

Find intervals:

Increasing

: - \infty < x < - \frac{1}{6 \cdot 6 ^{\frac{1}{4}}},

Decreasing

: - \frac{1}{6 \cdot 6 ^{\frac{1}{4}}} < x < 0,

Increasing

: 0 < x < \frac{1}{6 \cdot 6 ^{\frac{1}{4}}},

Decreasing

: \frac{1}{6 \cdot 6 ^{\frac{1}{4}}} < x < \infty

Plug

into

Plug

x = 0

into

- 8 x^{\frac{6}{5}} + 4 x^{\frac{2}{5}} : 0

Minimum (0, 0)

Plug

into

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Frequently Asked Questions (FAQ)

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