What is the extreme f(x)=7x^9-9x^7-5(-3.4) ?

The extreme f(x)=7x^9-9x^7-5(-3.4) is Maximum(-1,19),Saddle(0,17),Minimum(1,15)

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extreme f(x)=7x^9-9x^7-5(-3.4)

extreme points

f (x) = 7 x^{9} - 9 x^{7} - 5 (- 3.4)

Maximum (- 1, 19), Saddle (0, 17), Minimum (1, 15)

Solution steps

f^{'} (x) = 63 x^{8} - 63 x^{6}

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 0,

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 1

into

7 x^{9} - 9 x^{7} - 5 (- 3.4) : 19

Maximum (- 1, 19)

Plug

x = 0

into

7 x^{9} - 9 x^{7} - 5 (- 3.4) : 17

Saddle (0, 17)

Plug

x = 1

into

7 x^{9} - 9 x^{7} - 5 (- 3.4) : 15

Minimum (1, 15)

Maximum (- 1, 19), Saddle (0, 17), Minimum (1, 15)

f (x) = - 3 + x^{2} - 3 x - 3 x^{3} + 2 x^{5} + 4 x^{4}

f (x) = - x^{3} + 6 x^{2} + 135 x + 1

x^{2} - 8 x + 15

x^{2} - 8 x + 13

f (x) = 2 x^{2} - 5 x + 2

What is the extreme f(x)=7x^9-9x^7-5(-3.4) ?
The extreme f(x)=7x^9-9x^7-5(-3.4) is Maximum(-1,19),Saddle(0,17),Minimum(1,15)