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Popular >

extreme 2x^6-3x^5

Solution

extreme points

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

Solution

Saddle (0, 0), Minimum (\frac{5}{4}, - \frac{3125}{2048})

Solution steps

f^{'} (x) = 12 x^{5} - 15 x^{4}

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < \frac{5}{4},

Increasing

: \frac{5}{4} < x < \infty

Plug

x = 0

into

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

Saddle (0, 0)

Plug

x = \frac{5}{4}

into

2 x^{6} - 3 x^{5} : - \frac{3125}{2048}

Minimum (\frac{5}{4}, - \frac{3125}{2048})

Saddle (0, 0), Minimum (\frac{5}{4}, - \frac{3125}{2048})

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Frequently Asked Questions (FAQ)

What is the extreme 2x^6-3x^5 ?
The extreme 2x^6-3x^5 is Saddle(0,0),Minimum(5/4 ,-3125/2048)