What is the extreme f(x)=x^3-2x^2-15x+5 ?

The extreme f(x)=x^3-2x^2-15x+5 is Maximum(-5/3 , 535/27),Minimum(3,-31)

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extreme f(x)=x^3-2x^2-15x+5

extreme points

f (x) = x^{3} - 2 x^{2} - 15 x + 5

Maximum (- \frac{5}{3}, \frac{535}{27}), Minimum (3, - 31)

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 + 5 : \frac{535}{27}

Maximum (- \frac{5}{3}, \frac{535}{27})

Plug

x = 3

into

x^{3} - 2 x^{2} - 15 x + 5 : - 31

Minimum (3, - 31)

Maximum (- \frac{5}{3}, \frac{535}{27}), Minimum (3, - 31)

g (x) = 2 x^{3} - 3 x^{2} - 12 x + 13

F (x, y) = \frac{1 + x ^{2} + y ^{2}}{1 - x ^{2} - y ^{2}}

f (x) = - 2 x^{2} - 3 x + 5

\frac{1}{x} + x y - \frac{8}{y}

f (x, y) = y \cdot ln (x)

What is the extreme f(x)=x^3-2x^2-15x+5 ?
The extreme f(x)=x^3-2x^2-15x+5 is Maximum(-5/3 , 535/27),Minimum(3,-31)