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Popular >

extreme (x+3)^2-1

Solution

extreme points

(x + 3)^{2} - 1

Solution

Minimum (- 3, - 1)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 3,

Increasing

: - 3 < x < \infty

Plug

x = - 3

into

(x + 3)^{2} - 1 : - 1

Minimum (- 3, - 1)

Popular Examples

extreme f(x)=(x^2+5x)/(25-x^2)extreme points

f (x) = \frac{x ^{2} + 5 x}{25 - x ^{2}}

extreme f(x)=xsqrt(x-x^2)extreme points

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

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

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

extreme f(x)=2x^3-9x^2-60x extreme points

f (x) = 2 x^{3} - 9 x^{2} - 60 x

extreme f(x,y)=x^3+3x^2+6xy+y^2 extreme points

f (x, y) = x^{3} + 3 x^{2} + 6 x y + y^{2}

Frequently Asked Questions (FAQ)

What is the extreme (x+3)^2-1 ?
The extreme (x+3)^2-1 is Minimum(-3,-1)