What is the extreme 2x^3-2x^2-2x+3 ?

The extreme 2x^3-2x^2-2x+3 is Maximum(-1/3 , 91/27),Minimum(1,1)

Popular >

extreme 2x^3-2x^2-2x+3

extreme points

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

Maximum (- \frac{1}{3}, \frac{91}{27}), Minimum (1, 1)

Solution steps

f^{'} (x) = 6 x^{2} - 4 x - 2

Find intervals:

Increasing

: - \infty < x < - \frac{1}{3},

Decreasing

: - \frac{1}{3} < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - \frac{1}{3}

into

2 x^{3} - 2 x^{2} - 2 x + 3 : \frac{91}{27}

Maximum (- \frac{1}{3}, \frac{91}{27})

Plug

x = 1

into

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

Minimum (1, 1)

Maximum (- \frac{1}{3}, \frac{91}{27}), Minimum (1, 1)

f (x) = 6 x^{2} - 12, - 4 \leq x \leq 1

f (y, x) = 0.6 x + 0.1 y - 0.01 x y

f (x) = 3 x^{4} - 8 x^{3} + 10

f (x) = x^{2} - 7 x + 12

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

What is the extreme 2x^3-2x^2-2x+3 ?
The extreme 2x^3-2x^2-2x+3 is Maximum(-1/3 , 91/27),Minimum(1,1)