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Popular >

extreme 17r^2-r^3

Solution

extreme points

17 r^{2} - r^{3}

Solution

Minimum (0, 0), Maximum (\frac{34}{3}, \frac{19652}{27})

Solution steps

f^{'} (r) = 34 r - 3 r^{2}

Find intervals:

Decreasing

: - \infty < r < 0,

Increasing

: 0 < r < \frac{34}{3},

Decreasing

: \frac{34}{3} < r < \infty

Plug

r = 0

into

17 r^{2} - r^{3} : 0

Minimum (0, 0)

Plug

r = \frac{34}{3}

into

17 r^{2} - r^{3} : \frac{19652}{27}

Maximum (\frac{34}{3}, \frac{19652}{27})

Minimum (0, 0), Maximum (\frac{34}{3}, \frac{19652}{27})

Popular Examples

extreme f(x,y)=7-x^4+2x^2-y^2 extreme points

f (x, y) = 7 - x^{4} + 2 x^{2} - y^{2}

extreme ((12x^3))/3+38x^2+56x,-8<= x<= 1 extreme points

\frac{( 12 x ^{3} )}{3} + 38 x^{2} + 56 x, - 8 \leq x \leq 1

extreme-x^3+27x-58 extreme points

- x^{3} + 27 x - 58

extreme y=x^3+2x extreme points

y = x^{3} + 2 x

extreme f(x)=2x^3-42x^2+270x+10 extreme points

f (x) = 2 x^{3} - 42 x^{2} + 270 x + 10

Frequently Asked Questions (FAQ)

What is the extreme 17r^2-r^3 ?
The extreme 17r^2-r^3 is Minimum(0,0),Maximum(34/3 , 19652/27)