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Popular >

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

Solution

extreme points

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

Solution

Maximum (0, 1)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = 0

into

- x^{2} + 1 : 1

Maximum (0, 1)

Popular Examples

inflection f(x)=xe^{-3x}inflection points

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

domain of sqrt(x^2-1)domain

x^{2} - 1

domain of f(x)=x^2-7x+10 domain

f (x) = x^{2} - 7 x + 10

inverse of f(x)=4x^3-2 inverse

f (x) = 4 x^{3} - 2

range of f(x)=7+(8+x)^{1/2}range

f (x) = 7 + (8 + x)^{\frac{1}{2}}

Frequently Asked Questions (FAQ)

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