What is the extreme 2x^3-3x^2-72x+1 ?

The extreme 2x^3-3x^2-72x+1 is Maximum(-3,136),Minimum(4,-207)

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extreme 2x^3-3x^2-72x+1

extreme points

2 x^{3} - 3 x^{2} - 72 x + 1

Maximum (- 3, 136), Minimum (4, - 207)

Solution steps

f^{'} (x) = 6 x^{2} - 6 x - 72

Find intervals:

Increasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < 4,

Increasing

: 4 < x < \infty

Plug

x = - 3

into

2 x^{3} - 3 x^{2} - 72 x + 1 : 136

Maximum (- 3, 136)

Plug

x = 4

into

2 x^{3} - 3 x^{2} - 72 x + 1 : - 207

Minimum (4, - 207)

Maximum (- 3, 136), Minimum (4, - 207)

f (x) = \frac{x ^{5}}{5} - ln (x)

f (x, y) = 8 x^{4} - x^{2} + 3 y^{2}

f (x, y) = 3 x^{2} + y^{3} - 18 x y + 22

f (3.2) = - \frac{40000 t}{( 3 + t ^{2} + 2 x ^{2} ) ^{2}}

What is the extreme 2x^3-3x^2-72x+1 ?
The extreme 2x^3-3x^2-72x+1 is Maximum(-3,136),Minimum(4,-207)