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Popular >

extreme 5x^2(x-11)+3

Solution

extreme points

5 x^{2} (x - 11) + 3

Solution

Maximum (0, 3), Minimum (\frac{22}{3}, - \frac{26539}{27})

Solution steps

f^{'} (x) = 5 x (3 x - 22)

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \frac{22}{3},

Increasing

: \frac{22}{3} < x < \infty

Plug

x = 0

into

5 x^{2} (x - 11) + 3 : 3

Maximum (0, 3)

Plug

x = \frac{22}{3}

into

5 x^{2} (x - 11) + 3 : - \frac{26539}{27}

Minimum (\frac{22}{3}, - \frac{26539}{27})

Maximum (0, 3), Minimum (\frac{22}{3}, - \frac{26539}{27})

Popular Examples

extreme f(x)=x^2-y^2-14x+4y+3 extreme points

f (x) = x^{2} - y^{2} - 14 x + 4 y + 3

extreme yx^2+10x=10 extreme points

y x^{2} + 10 x = 10

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

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

extreme y= x/2-sin(x)extreme points

y = \frac{x}{2} - sin (x)

extreme (x-5)/(x^2-16x+64)extreme points

\frac{x - 5}{x ^{2} - 16 x + 64}

Frequently Asked Questions (FAQ)

What is the extreme 5x^2(x-11)+3 ?
The extreme 5x^2(x-11)+3 is Maximum(0,3),Minimum(22/3 ,-26539/27)