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Popular >

extreme f(x)=4-4x^2

Solution

extreme points

f (x) = 4 - 4 x^{2}

Solution

Maximum (0, 4)

Solution steps

f^{'} (x) = - 8 x

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = 0

into

4 - 4 x^{2} : 4

Maximum (0, 4)

Graph

Popular Examples

extreme y=x^3-2x+4 extreme points

y = x^{3} - 2 x + 4

extreme f(x)=x^2+xy+y^2-13y+56 extreme points

f (x) = x^{2} + x y + y^{2} - 13 y + 56

extreme f(x)=5x^3-5x^2-5x+8,-1<= x<= 2 extreme points

f (x) = 5 x^{3} - 5 x^{2} - 5 x + 8, - 1 \leq x \leq 2

extreme f(x)=(3-x)3^x extreme points

f (x) = (3 - x) 3^{x}

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

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

Frequently Asked Questions (FAQ)

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