What is the extreme f(x)=x^3+10x^2+25x-50 ?

The extreme f(x)=x^3+10x^2+25x-50 is Maximum(-5,-50),Minimum(-5/3 ,-1850/27)

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extreme f(x)=x^3+10x^2+25x-50

extreme points

f (x) = x^{3} + 10 x^{2} + 25 x - 50

Maximum (- 5, - 50), Minimum (- \frac{5}{3}, - \frac{1850}{27})

Solution steps

f^{'} (x) = 3 x^{2} + 20 x + 25

Find intervals:

Increasing

: - \infty < x < - 5,

Decreasing

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

Increasing

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

Plug

x = - 5

into

x^{3} + 10 x^{2} + 25 x - 50 : - 50

Maximum (- 5, - 50)

Plug

x = - \frac{5}{3}

into

x^{3} + 10 x^{2} + 25 x - 50 : - \frac{1850}{27}

Minimum (- \frac{5}{3}, - \frac{1850}{27})

Maximum (- 5, - 50), Minimum (- \frac{5}{3}, - \frac{1850}{27})

f (x, y) = x \cdot e^{- \frac{x ^{2}}{2} - \frac{y ^{2}}{2}}

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

f (x) = 2 x^{2} ln (x)

- \frac{1}{3} x^{3} - 5 x^{2} + 2000 x - 326

f (x) = x y (10 - 2 x - 3 y)

What is the extreme f(x)=x^3+10x^2+25x-50 ?
The extreme f(x)=x^3+10x^2+25x-50 is Maximum(-5,-50),Minimum(-5/3 ,-1850/27)