What is the extreme f(x)=-5x^4-5x^3+29 ?

The extreme f(x)=-5x^4-5x^3+29 is Maximum(-3/4 , 7559/256),Saddle(0,29)

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extreme f(x)=-5x^4-5x^3+29

extreme points

f (x) = - 5 x^{4} - 5 x^{3} + 29

Maximum (- \frac{3}{4}, \frac{7559}{256}), Saddle (0, 29)

Solution steps

f^{'} (x) = - 20 x^{3} - 15 x^{2}

Find intervals:

Increasing

: - \infty < x < - \frac{3}{4},

Decreasing

: - \frac{3}{4} < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = - \frac{3}{4}

into

- 5 x^{4} - 5 x^{3} + 29 : \frac{7559}{256}

Maximum (- \frac{3}{4}, \frac{7559}{256})

Plug

x = 0

into

- 5 x^{4} - 5 x^{3} + 29 : 29

Saddle (0, 29)

Maximum (- \frac{3}{4}, \frac{7559}{256}), Saddle (0, 29)

f (x) = 7 sin (x) + 7 cos (x), 0 \leq x \leq 2 π

x^{3} - 6 x^{2} + 1

f (x) = 2 x^{3} + 12 x^{2} + 18 x

f (x) = \frac{4}{3} x^{3} + 7 x^{2} - 8 x - 42

f (x) = 2 x 16 - x^{2}

What is the extreme f(x)=-5x^4-5x^3+29 ?
The extreme f(x)=-5x^4-5x^3+29 is Maximum(-3/4 , 7559/256),Saddle(0,29)