What is the extreme f(x)=x^3-x^2-5x+7 ?

The extreme f(x)=x^3-x^2-5x+7 is Maximum(-1,10),Minimum(5/3 , 14/27)

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extreme f(x)=x^3-x^2-5x+7

extreme points

f (x) = x^{3} - x^{2} - 5 x + 7

Maximum (- 1, 10), Minimum (\frac{5}{3}, \frac{14}{27})

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

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

Increasing

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

Plug

x = - 1

into

x^{3} - x^{2} - 5 x + 7 : 10

Maximum (- 1, 10)

Plug

x = \frac{5}{3}

into

x^{3} - x^{2} - 5 x + 7 : \frac{14}{27}

Minimum (\frac{5}{3}, \frac{14}{27})

Maximum (- 1, 10), Minimum (\frac{5}{3}, \frac{14}{27})

w (x, y) = x^{2} + y^{2}

f (x) = 3 - 16 x + 18 x^{2} - 2 x^{3} - x^{4}

f (x) = ∣ sin (x) ∣

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

x^{4} + 3 x y^{3} - x y

What is the extreme f(x)=x^3-x^2-5x+7 ?
The extreme f(x)=x^3-x^2-5x+7 is Maximum(-1,10),Minimum(5/3 , 14/27)