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Popular >

extreme f(x)=(x+4)^{2/3}-1

Solution

extreme points

f (x) = (x + 4)^{\frac{2}{3}} - 1

Solution

Minimum (- 4, - 1)

Solution steps

f^{'} (x) = \frac{2}{3 ( x + 4 ) ^{\frac{1}{3}}}

Find intervals:

Decreasing

: - \infty < x < - 4,

Increasing

: - 4 < x < \infty

Plug

x = - 4

into

(x + 4)^{\frac{2}{3}} - 1 : - 1

Minimum (- 4, - 1)

Popular Examples

domain of 1/(sqrt(x^4-5x^2+4))domain

\frac{1}{x ^{4} - 5 x ^{2} + 4}

range of f(x)=2cos(3x)range

f (x) = 2 cos (3 x)

domain of x/(sqrt(9-x^2))domain

\frac{x}{9 - x ^{2}}

intercepts of y=4x+2 intercepts

y = 4 x + 2

symmetry (x+5)^2-4 symmetry

(x + 5)^{2} - 4

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x+4)^{2/3}-1 ?
The extreme f(x)=(x+4)^{2/3}-1 is Minimum(-4,-1)