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Popular >

extreme f(x)=y-y^2

Solution

extreme points

f (x) = y - y^{2}

Solution

Maximum (\frac{1}{2}, \frac{1}{4})

Solution steps

f^{'} (y) = 1 - 2 y

Find intervals:

Increasing

: - \infty < y < \frac{1}{2},

Decreasing

: \frac{1}{2} < y < \infty

Plug

y = \frac{1}{2}

into

y - y^{2} : \frac{1}{4}

Maximum (\frac{1}{2}, \frac{1}{4})

Popular Examples

extreme f(x)=4x^2-6xy+5y^2-20x+26y extreme points

f (x) = 4 x^{2} - 6 x y + 5 y^{2} - 20 x + 26 y

extreme f(x)=-1.6 extreme points

f (x) = - 1.6

extreme f(x)=e^{x+y}extreme points

f (x) = e^{x + y}

extreme f(x,y)=5x^4-x^2+2y^2 extreme points

f (x, y) = 5 x^{4} - x^{2} + 2 y^{2}

extreme f(x)=-1/(x^2),0.5<= x<= 2 extreme points

f (x) = - \frac{1}{x ^{2}}, 0.5 \leq x \leq 2

Frequently Asked Questions (FAQ)

What is the extreme f(x)=y-y^2 ?
The extreme f(x)=y-y^2 is Maximum(1/2 , 1/4)