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Popular >

extreme y=x+(3600)/x

Solution

extreme points

y = x + \frac{3600}{x}

Solution

Maximum (- 60, - 120), Minimum (60, 120)

Solution steps

f^{'} (x) = 1 - \frac{3600}{x ^{2}}

Find intervals:

Increasing

: - \infty < x < - 60,

Decreasing

: - 60 < x < 0,

Decreasing

: 0 < x < 60,

Increasing

: 60 < x < \infty

Plug

x = - 60

into

x + \frac{3600}{x} : - 120

Maximum (- 60, - 120)

Plug

x = 60

into

x + \frac{3600}{x} : 120

Minimum (60, 120)

Maximum (- 60, - 120), Minimum (60, 120)

Popular Examples

domain of (4/x)/(4/x+4)domain

\frac{\frac{4}{x}}{\frac{4}{x} + 4}

intercepts of f(x)= 3/((x-1)(x^2-4))intercepts

f (x) = \frac{3}{( x - 1 ) ( x ^{2} - 4 )}

domain of f(x)=((x^2+x+2))/(x-1)domain

f (x) = \frac{( x ^{2} + x + 2 )}{x - 1}

domain of 2/(3x+9)domain

\frac{2}{3 x + 9}

asymptotes of (x+2)/(x^2-x-2)asymptotes

\frac{x + 2}{x ^{2} - x - 2}

Frequently Asked Questions (FAQ)

What is the extreme y=x+(3600)/x ?
The extreme y=x+(3600)/x is Maximum(-60,-120),Minimum(60,120)