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Popular >

extreme 6x^5-10x^3

Solution

extreme points

6 x^{5} - 10 x^{3}

Solution

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

Solution steps

f^{'} (x) = 30 x^{4} - 30 x^{2}

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 0,

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 1

into

6 x^{5} - 10 x^{3} : 4

Maximum (- 1, 4)

Plug

x = 0

into

6 x^{5} - 10 x^{3} : 0

Saddle (0, 0)

Plug

x = 1

into

6 x^{5} - 10 x^{3} : - 4

Minimum (1, - 4)

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

Popular Examples

extreme f(x,y)=2x^3+4xy-y^2 extreme points

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

extreme f(x,y)=x^3+y^3-36xy extreme points

f (x, y) = x^{3} + y^{3} - 36 x y

extreme f(x)=(x-2)/(x^3)extreme points

f (x) = \frac{x - 2}{x ^{3}}

extreme f(x)=x^2-2x+1,0<= x<= 3 extreme points

f (x) = x^{2} - 2 x + 1, 0 \leq x \leq 3

extreme f(x,y)=2x^2-4x+y^2-4y+1 extreme points

f (x, y) = 2 x^{2} - 4 x + y^{2} - 4 y + 1

Frequently Asked Questions (FAQ)

What is the extreme 6x^5-10x^3 ?
The extreme 6x^5-10x^3 is Maximum(-1,4),Saddle(0,0),Minimum(1,-4)