What is the extreme f(x)=6x^3-15x^2+12x-6 ?

The extreme f(x)=6x^3-15x^2+12x-6 is Maximum(2/3 ,-26/9),Minimum(1,-3)

Popular >

extreme f(x)=6x^3-15x^2+12x-6

extreme points

f (x) = 6 x^{3} - 15 x^{2} + 12 x - 6

Maximum (\frac{2}{3}, - \frac{26}{9}), Minimum (1, - 3)

Solution steps

f^{'} (x) = 18 x^{2} - 30 x + 12

Find intervals:

Increasing

: - \infty < x < \frac{2}{3},

Decreasing

: \frac{2}{3} < x < 1,

Increasing

: 1 < x < \infty

Plug

x = \frac{2}{3}

into

6 x^{3} - 15 x^{2} + 12 x - 6 : - \frac{26}{9}

Maximum (\frac{2}{3}, - \frac{26}{9})

Plug

x = 1

into

6 x^{3} - 15 x^{2} + 12 x - 6 : - 3

Minimum (1, - 3)

Maximum (\frac{2}{3}, - \frac{26}{9}), Minimum (1, - 3)

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

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

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

f (x, y) = e^{x} ln (y)

f (x) = 3 x^{4} - 4 x^{3}, - 1 \leq x \leq 2

What is the extreme f(x)=6x^3-15x^2+12x-6 ?
The extreme f(x)=6x^3-15x^2+12x-6 is Maximum(2/3 ,-26/9),Minimum(1,-3)