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Popular >

extreme f(x)=100-4x^2

Solution

extreme points

f (x) = 100 - 4 x^{2}

Solution

Maximum (0, 100)

Solution steps

f^{'} (x) = - 8 x

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = 0

into

100 - 4 x^{2} : 100

Maximum (0, 100)

Graph

Popular Examples

domain of f(x)=x^{(1/3)}domain

f (x) = x^{(\frac{1}{3})}

inverse of f(x)=(x+5)/(x-6)inverse

f (x) = \frac{x + 5}{x - 6}

critical f(x)=-x^{2/3}(x-2)critical points

f (x) = - x^{\frac{2}{3}} (x - 2)

inverse of f(x)=((1-e^{-x}))/(1+e^{-x)}inverse

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

parity f(x)=4x parity

f (x) = 4 x

Frequently Asked Questions (FAQ)

What is the extreme f(x)=100-4x^2 ?
The extreme f(x)=100-4x^2 is Maximum(0,100)