What is the extreme f(x)=x^3+45x^2+87x+28 ?

The extreme f(x)=x^3+45x^2+87x+28 is Maximum(-29,10961),Minimum(-1,-15)

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extreme f(x)=x^3+45x^2+87x+28

extreme points

f (x) = x^{3} + 45 x^{2} + 87 x + 28

Maximum (- 29, 10961), Minimum (- 1, - 15)

Solution steps

f^{'} (x) = 3 x^{2} + 90 x + 87

Find intervals:

Increasing

: - \infty < x < - 29,

Decreasing

: - 29 < x < - 1,

Increasing

: - 1 < x < \infty

Plug

x = - 29

into

x^{3} + 45 x^{2} + 87 x + 28 : 10961

Maximum (- 29, 10961)

Plug

x = - 1

into

x^{3} + 45 x^{2} + 87 x + 28 : - 15

Minimum (- 1, - 15)

Maximum (- 29, 10961), Minimum (- 1, - 15)

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

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

f (x) = \frac{- 6}{x ^{2} - 9}

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

f (x) = 2 x^{3} - 6 x^{2} - 48 x + 10

What is the extreme f(x)=x^3+45x^2+87x+28 ?
The extreme f(x)=x^3+45x^2+87x+28 is Maximum(-29,10961),Minimum(-1,-15)