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Popular >

extreme f(x)=-x^2+2x-1

Solution

extreme points

f (x) = - x^{2} + 2 x - 1

Solution

Maximum (1, 0)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = 1

into

- x^{2} + 2 x - 1 : 0

Maximum (1, 0)

Popular Examples

extreme f(x)=240x-6x^2 extreme points

f (x) = 240 x - 6 x^{2}

extreme x^2-2x+2 extreme points

x^{2} - 2 x + 2

extreme f(x,y)=x^3+y^3-6x-9y extreme points

f (x, y) = x^{3} + y^{3} - 6 x - 9 y

extreme y=6xsqrt(36-x^2)extreme points

y = 6 x 36 - x^{2}

extreme S(v,t)=v*2t-v/t*(2t^2)/2 extreme points

S (v, t) = v \cdot 2 t - \frac{v}{t} \cdot \frac{2 t ^{2}}{2}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-x^2+2x-1 ?
The extreme f(x)=-x^2+2x-1 is Maximum(1,0)