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Popular >

extreme 2x^3+3x^2+4

Solution

extreme points

2 x^{3} + 3 x^{2} + 4

Solution

Maximum (- 1, 5), Minimum (0, 4)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 1

into

2 x^{3} + 3 x^{2} + 4 : 5

Maximum (- 1, 5)

Plug

x = 0

into

2 x^{3} + 3 x^{2} + 4 : 4

Minimum (0, 4)

Maximum (- 1, 5), Minimum (0, 4)

Graph

Popular Examples

extreme f(x)=x^2+2y^2-4x+8y extreme points

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

extreme f(x)=(2-x)/(5+x)extreme points

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

extreme f(x)=x^{(2/5)}(7/(2+x))extreme points

f (x) = x^{(\frac{2}{5})} (\frac{7}{2 + x})

extreme Q(x,y)=5x+3xy extreme points

Q (x, y) = 5 x + 3 x y

extreme f(x,y)=sqrt(x^2+y^2-10x+26)extreme points

f (x, y) = x^{2} + y^{2} - 10 x + 26

Frequently Asked Questions (FAQ)

What is the extreme 2x^3+3x^2+4 ?
The extreme 2x^3+3x^2+4 is Maximum(-1,5),Minimum(0,4)