What is the extreme x^3-2x^2-15x+10[-2.1] ?

The extreme x^3-2x^2-15x+10[-2.1] is Maximum(-5/3 ,-6.18518…),Minimum(3,-57)

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extreme x^3-2x^2-15x+10[-2.1]

extreme points

x^{3} - 2 x^{2} - 15 x + 10 [- 2.1]

Maximum (- \frac{5}{3}, - 6.18518 \dots), Minimum (3, - 57)

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 [- 2.1] : - 6.18518 \dots

Maximum (- \frac{5}{3}, - 6.18518 \dots)

Plug

x = 3

into

x^{3} - 2 x^{2} - 15 x + 10 [- 2.1] : - 57

Minimum (3, - 57)

Maximum (- \frac{5}{3}, - 6.18518 \dots), Minimum (3, - 57)

f (x) = x + \frac{9}{x} + 2

f (x, y) = x^{3} + y^{3} - 3 x - 12 y + 30

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

+ 2.5 t^{2} + 6 t

f (x) = 8 x^{3} - 6 x^{2}

What is the extreme x^3-2x^2-15x+10[-2.1] ?
The extreme x^3-2x^2-15x+10[-2.1] is Maximum(-5/3 ,-6.18518…),Minimum(3,-57)