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Popular >

extreme y=1-x^{2/3}

Solution

extreme points

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

Solution

Maximum (0, 1)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = 0

into

1 - x^{\frac{2}{3}} : 1

Maximum (0, 1)

Popular Examples

extreme x+9/x extreme points

x + \frac{9}{x}

slope of-3x+2y=-12 slope

- 3 x + 2 y = - 12

slope of-5x+9y=-18 slope

- 5 x + 9 y = - 18

inverse of f(x)=6x+3 inverse

f (x) = 6 x + 3

inflection f(x)=-x^4-3x^3+6x+1 inflection points

f (x) = - x^{4} - 3 x^{3} + 6 x + 1

Frequently Asked Questions (FAQ)

What is the extreme y=1-x^{2/3} ?
The extreme y=1-x^{2/3} is Maximum(0,1)