What is the extreme f(x)=3x^6-7x^5 ?

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

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extreme f(x)=3x^6-7x^5

extreme points

f (x) = 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})

f (x, y) = e^{x^{2} + 3 y^{2} + 15}

g (x) = x^{3} - 2 x^{2} - 4 x + 8

f (x) = x^{3} + 6 x^{2} - 63 x + 5, - 8 \leq x \leq 0

f (x) = 3 x^{2} - 6 x + 24

f (x) = (9 x^{2} + 4 x + 5) (9 y^{2} + 6 y + 6)

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