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Popular >

extreme f(x)=6x-x^2

Solution

extreme points

f (x) = 6 x - x^{2}

Solution

Maximum (3, 9)

Solution steps

f^{'} (x) = 6 - 2 x

Find intervals:

Increasing

: - \infty < x < 3,

Decreasing

: 3 < x < \infty

Plug

x = 3

into

6 x - x^{2} : 9

Maximum (3, 9)

Popular Examples

extreme f(x)=2x^2-8x+9 extreme points

f (x) = 2 x^{2} - 8 x + 9

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

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

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

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

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

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

extreme V(B,h)= 1/3 Bh extreme points

V (B, h) = \frac{1}{3} B h

Frequently Asked Questions (FAQ)

What is the extreme f(x)=6x-x^2 ?
The extreme f(x)=6x-x^2 is Maximum(3,9)