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Popular >

extreme 4x^{1/3}-x^{4/3}

Solution

extreme points

4 x^{\frac{1}{3}} - x^{\frac{4}{3}}

Solution

Maximum (1, 3)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Increasing

: 0 < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = 1

into

4 x^{\frac{1}{3}} - x^{\frac{4}{3}} : 3

Maximum (1, 3)

Popular Examples

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f (x) = 5 - 2 e^{x}

critical xln(5x)critical points

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range of x^3+2x^2-x+4 range

x^{3} + 2 x^{2} - x + 4

range of f(x)=((x+1))/((2x+1))range

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

critical f(x)=1+3/x+2/(x^2)critical points

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

Frequently Asked Questions (FAQ)

What is the extreme 4x^{1/3}-x^{4/3} ?
The extreme 4x^{1/3}-x^{4/3} is Maximum(1,3)