What is the extreme f(x)=-5x^4-5x^3-2 ?

The extreme f(x)=-5x^4-5x^3-2 is Maximum(-3/4 ,-377/256),Saddle(0,-2)

Popular >

extreme f(x)=-5x^4-5x^3-2

extreme points

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

Maximum (- \frac{3}{4}, - \frac{377}{256}), Saddle (0, - 2)

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} - 2 : - \frac{377}{256}

Maximum (- \frac{3}{4}, - \frac{377}{256})

Plug

x = 0

into

- 5 x^{4} - 5 x^{3} - 2 : - 2

Saddle (0, - 2)

Maximum (- \frac{3}{4}, - \frac{377}{256}), Saddle (0, - 2)

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

f (x) = \frac{x ^{2} - 4}{x ^{2} + 4}, - 5 \leq x \leq 5

f (x) = 7 x^{2} - 56 x + 84

y = - 4 x^{2} - 5 x + 1

f (x) = \frac{x ^{2} - 7 x - 6}{x - 5}

What is the extreme f(x)=-5x^4-5x^3-2 ?
The extreme f(x)=-5x^4-5x^3-2 is Maximum(-3/4 ,-377/256),Saddle(0,-2)