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Popular >

extreme y=3x^{3/2}-2x

Solution

extreme points

y = 3 x^{\frac{3}{2}} - 2 x

Solution

Minimum (\frac{16}{81}, - \frac{32}{243})

Solution steps

f^{'} (x) = \frac{9 x ^{\frac{1}{2}}}{2} - 2

Find intervals:

Decreasing

: 0 \leq x < \frac{16}{81},

Increasing

: \frac{16}{81} < x < \infty

Plug

x = \frac{16}{81}

into

3 x^{\frac{3}{2}} - 2 x : - \frac{32}{243}

Minimum (\frac{16}{81}, - \frac{32}{243})

Popular Examples

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critical f(x)=3x^{2/3}+x^{5/3}critical points

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critical f(x)=2x(4-x)^3 critical points

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x = y

Frequently Asked Questions (FAQ)

What is the extreme y=3x^{3/2}-2x ?
The extreme y=3x^{3/2}-2x is Minimum(16/81 ,-32/243)