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Popular >

extreme f(x)=x^2+9x+4

Solution

extreme points

f (x) = x^{2} + 9 x + 4

Solution

Minimum (- \frac{9}{2}, - \frac{65}{4})

Solution steps

f^{'} (x) = 2 x + 9

Find intervals:

Decreasing

: - \infty < x < - \frac{9}{2},

Increasing

: - \frac{9}{2} < x < \infty

Plug

x = - \frac{9}{2}

into

x^{2} + 9 x + 4 : - \frac{65}{4}

Minimum (- \frac{9}{2}, - \frac{65}{4})

Popular Examples

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\frac{2 x}{5 ( x ^{2} ) ^{\frac{4}{5}}}

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f (x) = \frac{1}{5 + e ^{3 x}}

range of (6x+7)/(5x-6)range

\frac{6 x + 7}{5 x - 6}

inflection X+ln(X^2-1)inflection points

X + ln (X^{2} - 1)

domain of y=log_{3}(4x+18)-3 domain

y = lo g_{3} (4 x + 18) - 3

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^2+9x+4 ?
The extreme f(x)=x^2+9x+4 is Minimum(-9/2 ,-65/4)