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Popular >

extreme f(x)=(x-4)(x-7)

Solution

extreme points

f (x) = (x - 4) (x - 7)

Solution

Minimum (\frac{11}{2}, - \frac{9}{4})

Solution steps

f^{'} (x) = 2 x - 11

Find intervals:

Decreasing

: - \infty < x < \frac{11}{2},

Increasing

: \frac{11}{2} < x < \infty

Plug

x = \frac{11}{2}

into

(x - 4) (x - 7) : - \frac{9}{4}

Minimum (\frac{11}{2}, - \frac{9}{4})

Popular Examples

shift f(x)=cos(2(x-pi))shift

f (x) = cos (2 (x - π))

domain of \sqrt[3]{x-2}+1 domain

inverse of f(x)=(x+2)/(x-7)inverse

f (x) = \frac{x + 2}{x - 7}

domain of sqrt(x+4)-8 domain

x + 4 - 8

inverse of \sqrt[4]{x}inverse

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x-4)(x-7) ?
The extreme f(x)=(x-4)(x-7) is Minimum(11/2 ,-9/4)