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Popular >

extreme f(x)=(x+2)(x+1)(x-3)

Solution

extreme points

f (x) = (x + 2) (x + 1) (x - 3)

Solution

Maximum (- \frac{7}{3}, - \frac{13 7}{3 3} + 321 - 6), Minimum (\frac{7}{3}, \frac{13 7}{3 3} - 6 - 321)

Solution steps

f^{'} (x) = (3 x + 7) (3 x - 7)

Find intervals:

Increasing

: - \infty < x < - \frac{7}{3},

Decreasing

: - \frac{7}{3} < x < \frac{7}{3},

Increasing

: \frac{7}{3} < x < \infty

Plug

x = - \frac{7}{3}

into

(x + 2) (x + 1) (x - 3) : - \frac{13 7}{3 3} + 321 - 6

Maximum (- \frac{7}{3}, - \frac{13 7}{3 3} + 321 - 6)

Plug

x = \frac{7}{3}

into

(x + 2) (x + 1) (x - 3) : \frac{13 7}{3 3} - 6 - 321

Minimum (\frac{7}{3}, \frac{13 7}{3 3} - 6 - 321)

Maximum (- \frac{7}{3}, - \frac{13 7}{3 3} + 321 - 6), Minimum (\frac{7}{3}, \frac{13 7}{3 3} - 6 - 321)

Popular Examples

periodicity of csc(x/3)-2 periodicity

csc (\frac{x}{3}) - 2

intercepts of f(x)=(x^2-x)/(-x+1)intercepts

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

domain of f(x)= 2/(x-1)domain

f (x) = \frac{2}{x - 1}

symmetry y=-1/2 x^2+7 symmetry

y = - \frac{1}{2} x^{2} + 7

periodicity of f(x)=5cos(4x)periodicity

f (x) = 5 cos (4 x)

Frequently Asked Questions (FAQ)

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