What is the extreme f(x)=2x^3+30x^2+144x-1 ?

The extreme f(x)=2x^3+30x^2+144x-1 is Maximum(-6,-217),Minimum(-4,-225)

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extreme f(x)=2x^3+30x^2+144x-1

extreme points

f (x) = 2 x^{3} + 30 x^{2} + 144 x - 1

Maximum (- 6, - 217), Minimum (- 4, - 225)

Solution steps

f^{'} (x) = 6 x^{2} + 60 x + 144

Find intervals:

Increasing

: - \infty < x < - 6,

Decreasing

: - 6 < x < - 4,

Increasing

: - 4 < x < \infty

Plug

x = - 6

into

2 x^{3} + 30 x^{2} + 144 x - 1 : - 217

Maximum (- 6, - 217)

Plug

x = - 4

into

2 x^{3} + 30 x^{2} + 144 x - 1 : - 225

Minimum (- 4, - 225)

Maximum (- 6, - 217), Minimum (- 4, - 225)

f (x) = sin^{2} (x), 0 \leq x \leq π

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

(x + 3)^{2} - 1

f (x) = \frac{x ^{2} + 5 x}{25 - x ^{2}}

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

What is the extreme f(x)=2x^3+30x^2+144x-1 ?
The extreme f(x)=2x^3+30x^2+144x-1 is Maximum(-6,-217),Minimum(-4,-225)