What is the extreme f(x)=2x^3+45x^2+84x+29 ?

The extreme f(x)=2x^3+45x^2+84x+29 is Maximum(-14,2185),Minimum(-1,-12)

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extreme f(x)=2x^3+45x^2+84x+29

extreme points

f (x) = 2 x^{3} + 45 x^{2} + 84 x + 29

Maximum (- 14, 2185), Minimum (- 1, - 12)

Solution steps

f^{'} (x) = 6 x^{2} + 90 x + 84

Find intervals:

Increasing

: - \infty < x < - 14,

Decreasing

: - 14 < x < - 1,

Increasing

: - 1 < x < \infty

Plug

x = - 14

into

2 x^{3} + 45 x^{2} + 84 x + 29 : 2185

Maximum (- 14, 2185)

Plug

x = - 1

into

2 x^{3} + 45 x^{2} + 84 x + 29 : - 12

Minimum (- 1, - 12)

Maximum (- 14, 2185), Minimum (- 1, - 12)

x^{3} - 12 x^{2} + 36 x

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

x^{3} - 12 x + 2

f (x, y) = \frac{1}{3} y^{3} + x^{2} - 2 x y - 15 y + 12

What is the extreme f(x)=2x^3+45x^2+84x+29 ?
The extreme f(x)=2x^3+45x^2+84x+29 is Maximum(-14,2185),Minimum(-1,-12)