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Popular >

extreme f(x)=(x+5)^{2/3}-2

Solution

extreme points

f (x) = (x + 5)^{\frac{2}{3}} - 2

Solution

Minimum (- 5, - 2)

Solution steps

f^{'} (x) = \frac{2}{3 ( x + 5 ) ^{\frac{1}{3}}}

Find intervals:

Decreasing

: - \infty < x < - 5,

Increasing

: - 5 < x < \infty

Plug

x = - 5

into

(x + 5)^{\frac{2}{3}} - 2 : - 2

Minimum (- 5, - 2)

Popular Examples

extreme f(x)=-3x^4+8x^3+18x^2 extreme points

f (x) = - 3 x^{4} + 8 x^{3} + 18 x^{2}

perpendicular 5x-10y=1,(1/2 ,-2/7)perpendicular

5 x - 10 y = 1, (\frac{1}{2}, - \frac{2}{7})

domain of f(x)= 1/(8-x)domain

f (x) = \frac{1}{8 - x}

extreme x^2-5x+6 extreme points

x^{2} - 5 x + 6

asymptotes of (x^2-16)/(x^3-5x^2+4x)asymptotes

\frac{x ^{2} - 16}{x ^{3} - 5 x ^{2} + 4 x}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x+5)^{2/3}-2 ?
The extreme f(x)=(x+5)^{2/3}-2 is Minimum(-5,-2)