What is the extreme f(x)=-2x^3+27x^2-84x+40 ?

The extreme f(x)=-2x^3+27x^2-84x+40 is Minimum(2,-36),Maximum(7,89)

Popular >

extreme f(x)=-2x^3+27x^2-84x+40

extreme points

f (x) = - 2 x^{3} + 27 x^{2} - 84 x + 40

Minimum (2, - 36), Maximum (7, 89)

Solution steps

f^{'} (x) = - 6 x^{2} + 54 x - 84

Find intervals:

Decreasing

: - \infty < x < 2,

Increasing

: 2 < x < 7,

Decreasing

: 7 < x < \infty

Plug

x = 2

into

- 2 x^{3} + 27 x^{2} - 84 x + 40 : - 36

Minimum (2, - 36)

Plug

x = 7

into

- 2 x^{3} + 27 x^{2} - 84 x + 40 : 89

Maximum (7, 89)

Minimum (2, - 36), Maximum (7, 89)

\frac{x ^{3}}{x + 1}

f (x) = x^{3} + 3 \cdot x^{2} - 9 x + 27

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

F (x, y) = - x^{3} + 6 x y - 3 y^{2} + 1

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

What is the extreme f(x)=-2x^3+27x^2-84x+40 ?
The extreme f(x)=-2x^3+27x^2-84x+40 is Minimum(2,-36),Maximum(7,89)