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Popular >

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

Solution

extreme points

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

Solution

Minimum (8, 2)

Solution steps

f^{'} (x) = \frac{8}{3 ( x - 8 ) ^{\frac{1}{3}}}

Find intervals:

Decreasing

: - \infty < x < 8,

Increasing

: 8 < x < \infty

Plug

x = 8

into

4 (x - 8)^{\frac{2}{3}} + 2 : 2

Minimum (8, 2)

Popular Examples

symmetry y=-1/2 (x+3)^2+2 symmetry

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

inverse of f(x)=((x+1))/((4x+1))inverse

f (x) = \frac{( x + 1 )}{( 4 x + 1 )}

critical e^{-0.5x^2}critical points

e^{- 0.5 x^{2}}

inverse of f(x)=4x^2+1 inverse

f (x) = 4 x^{2} + 1

inverse of f(x)=(3x+4)/(5-4x)inverse

f (x) = \frac{3 x + 4}{5 - 4 x}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=4(x-8)^{2/3}+2 ?
The extreme f(x)=4(x-8)^{2/3}+2 is Minimum(8,2)