What is the extreme x^3-2x^2-15x+10 ?

The extreme x^3-2x^2-15x+10 is Maximum(-5/3 , 670/27),Minimum(3,-26)

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extreme x^3-2x^2-15x+10

extreme points

x^{3} - 2 x^{2} - 15 x + 10

Maximum (- \frac{5}{3}, \frac{670}{27}), Minimum (3, - 26)

Solution steps

f^{'} (x) = 3 x^{2} - 4 x - 15

Find intervals:

Increasing

: - \infty < x < - \frac{5}{3},

Decreasing

: - \frac{5}{3} < x < 3,

Increasing

: 3 < x < \infty

Plug

x = - \frac{5}{3}

into

x^{3} - 2 x^{2} - 15 x + 10 : \frac{670}{27}

Maximum (- \frac{5}{3}, \frac{670}{27})

Plug

x = 3

into

x^{3} - 2 x^{2} - 15 x + 10 : - 26

Minimum (3, - 26)

Maximum (- \frac{5}{3}, \frac{670}{27}), Minimum (3, - 26)

y + 4 = \frac{2}{3} (x - 3)

f (x) = 0

f (x) = \frac{( x + 5 )}{x - 4}

y = (x - 8) (x + 2)

f (x) = 7 - 2 (x - 1)^{2}

What is the extreme x^3-2x^2-15x+10 ?
The extreme x^3-2x^2-15x+10 is Maximum(-5/3 , 670/27),Minimum(3,-26)