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

The extreme f(x)=x^3-2x^2-15x+2 is Maximum(-5/3 , 454/27),Minimum(3,-34)

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

extreme points

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

Maximum (- \frac{5}{3}, \frac{454}{27}), Minimum (3, - 34)

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 + 2 : \frac{454}{27}

Maximum (- \frac{5}{3}, \frac{454}{27})

Plug

x = 3

into

x^{3} - 2 x^{2} - 15 x + 2 : - 34

Minimum (3, - 34)

Maximum (- \frac{5}{3}, \frac{454}{27}), Minimum (3, - 34)

f (x) = e^{- 3 x}

f (x) = 1 + x

f (x) = \frac{1}{5 + e ^{2 x}}

3 x^{4} - 15

f (x) = \frac{13 x ^{2}}{7 x ^{2} + 6}

What is the extreme f(x)=x^3-2x^2-15x+2 ?
The extreme f(x)=x^3-2x^2-15x+2 is Maximum(-5/3 , 454/27),Minimum(3,-34)