What is the extreme 5x^3-5x^2-5x+9 ?

The extreme 5x^3-5x^2-5x+9 is Maximum(-1/3 , 268/27),Minimum(1,4)

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extreme 5x^3-5x^2-5x+9

extreme

Maximum (- \frac{1}{3}, \frac{268}{27}), Minimum (1, 4)

Solution steps

f^{'} (x) = 15 x^{2} - 10 x - 5

Find intervals:

Increasing

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

Decreasing

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

Increasing

: 1 < x < \infty

Plug

x = - \frac{1}{3}

into

5 x^{3} - 5 x^{2} - 5 x + 9 : \frac{268}{27}

Maximum (- \frac{1}{3}, \frac{268}{27})

Plug

x = 1

into

5 x^{3} - 5 x^{2} - 5 x + 9 : 4

Minimum (1, 4)

Maximum (- \frac{1}{3}, \frac{268}{27}), Minimum (1, 4)

What is the extreme 5x^3-5x^2-5x+9 ?
The extreme 5x^3-5x^2-5x+9 is Maximum(-1/3 , 268/27),Minimum(1,4)