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Popular >

extreme f(x)=-x^2-6x+9

Solution

extreme points

f (x) = - x^{2} - 6 x + 9

Solution

Maximum (- 3, 18)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < \infty

Plug

x = - 3

into

- x^{2} - 6 x + 9 : 18

Maximum (- 3, 18)

Popular Examples

extreme f(x)=-x^2-6x-8 extreme points

f (x) = - x^{2} - 6 x - 8

extreme f(x)=(2x)/(1+x^2)extreme points

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

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

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

extreme x+(32)/(x^2)extreme points

x + \frac{32}{x ^{2}}

extreme f(x,y)=sqrt(1-x^2)-sqrt(4-y^2)extreme points

f (x, y) = 1 - x^{2} - 4 - y^{2}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-x^2-6x+9 ?
The extreme f(x)=-x^2-6x+9 is Maximum(-3,18)