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Popular >

extreme x^2=-y+4

Solution

extreme points

x^{2} = - y + 4

Solution

Maximum (0, 4)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = 0

into

4 - x^{2} : 4

Maximum (0, 4)

Popular Examples

extreme f(x,y)=sqrt(-4x^2+8x-9y^2-18y-12)extreme points

f (x, y) = - 4 x^{2} + 8 x - 9 y^{2} - 18 y - 12

extreme f(x)=(-x^3)/3-2x^2+5x-2 extreme points

f (x) = \frac{- x ^{3}}{3} - 2 x^{2} + 5 x - 2

extreme f(x)= x/4+y-7/4 extreme points

f (x) = \frac{x}{4} + y - \frac{7}{4}

extreme f(x,y)= 1/12 sqrt(144-16x^2-9y^2)extreme points

f (x, y) = \frac{1}{12} 144 - 16 x^{2} - 9 y^{2}

extreme f(x)=80x^2-52/3 x^3+x^4 extreme points

f (x) = 80 x^{2} - \frac{52}{3} x^{3} + x^{4}

Frequently Asked Questions (FAQ)

What is the extreme x^2=-y+4 ?
The extreme x^2=-y+4 is Maximum(0,4)