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Popular >

extreme xsqrt(9-x)

Solution

extreme points

x 9 - x

Solution

Maximum (6, 63), Minimum (9, 0)

Solution steps

f^{'} (x) = - \frac{3 ( x - 6 )}{2 9 - x}

Find intervals:

Increasing

: - \infty < x < 6,

Decreasing

: 6 < x < 9

Plug

x = 6

into

x 9 - x : 63

Maximum (6, 63)

Plug

x = 9

into

x 9 - x : 0

Minimum (9, 0)

Maximum (6, 63), Minimum (9, 0)

Graph

Popular Examples

extreme f(x)=2x^3-6x^2-18x+54 extreme points

f (x) = 2 x^{3} - 6 x^{2} - 18 x + 54

extreme f(x)= 1/4 e^x+e^{-x}extreme points

f (x) = \frac{1}{4} e^{x} + e^{- x}

extreme f(x)=(5x)/(x^2+16),0<= x<= 12 extreme points

f (x) = \frac{5 x}{x ^{2} + 16}, 0 \leq x \leq 12

extreme x^3-27x+48 extreme points

x^{3} - 27 x + 48

extreme sin^2(x)-cos(x)extreme points

sin^{2} (x) - cos (x)

Frequently Asked Questions (FAQ)

What is the extreme xsqrt(9-x) ?
The extreme xsqrt(9-x) is Maximum(6,6sqrt(3)),Minimum(9,0)