What is the extreme 3x^6-7x^5 ?

The extreme 3x^6-7x^5 is Saddle(0,0),Minimum(35/18 ,(35^6)/(11337408)-367653125/1889568)

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extreme 3x^6-7x^5

extreme points

3 x^{6} - 7 x^{5}

Saddle (0, 0), Minimum (\frac{35}{18}, \frac{3 5 ^{6}}{11337408} - \frac{367653125}{1889568})

Solution steps

f^{'} (x) = 18 x^{5} - 35 x^{4}

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < \frac{35}{18},

Increasing

: \frac{35}{18} < x < \infty

Plug

x = 0

into

3 x^{6} - 7 x^{5} : 0

Saddle (0, 0)

Plug

x = \frac{35}{18}

into

3 x^{6} - 7 x^{5} : \frac{3 5 ^{6}}{11337408} - \frac{367653125}{1889568}

Minimum (\frac{35}{18}, \frac{3 5 ^{6}}{11337408} - \frac{367653125}{1889568})

Saddle (0, 0), Minimum (\frac{35}{18}, \frac{3 5 ^{6}}{11337408} - \frac{367653125}{1889568})

\frac{4 x}{9 x - 1}

f (x) = \frac{x ^{2} - 3 x + 2}{x - 4}

y = \frac{2}{9} x

f (x) = \frac{( 4 x + 7 )}{x x + 9}

What is the extreme 3x^6-7x^5 ?
The extreme 3x^6-7x^5 is Saddle(0,0),Minimum(35/18 ,(35^6)/(11337408)-367653125/1889568)