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Popular >

extreme 5x^6-3x^5

Solution

extreme points

5 x^{6} - 3 x^{5}

Solution

Saddle (0, 0), Minimum (\frac{1}{2}, - \frac{1}{64})

Solution steps

f^{'} (x) = 30 x^{5} - 15 x^{4}

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < \frac{1}{2},

Increasing

: \frac{1}{2} < x < \infty

Plug

x = 0

into

5 x^{6} - 3 x^{5} : 0

Saddle (0, 0)

Plug

x = \frac{1}{2}

into

5 x^{6} - 3 x^{5} : - \frac{1}{64}

Minimum (\frac{1}{2}, - \frac{1}{64})

Saddle (0, 0), Minimum (\frac{1}{2}, - \frac{1}{64})

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Frequently Asked Questions (FAQ)

What is the extreme 5x^6-3x^5 ?
The extreme 5x^6-3x^5 is Saddle(0,0),Minimum(1/2 ,-1/64)