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Popular >

extreme 4x-7x^{4/7}

Solution

extreme points

4 x - 7 x^{\frac{4}{7}}

Solution

Maximum (1, - 3)

Solution steps

f^{'} (x) = 4 - \frac{4}{x ^{\frac{3}{7}}}

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = 1

into

4 x - 7 x^{\frac{4}{7}} : - 3

Maximum (1, - 3)

Popular Examples

slope ofintercept y= x/5-2 slope intercept

y = \frac{x}{5} - 2

domain of f(x)=2-6x domain

f (x) = 2 - 6 x

inflection x^4-6x^2 inflection points

x^{4} - 6 x^{2}

domain of (3x)/(2x-1)domain

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

perpendicular 4x-2y=7 perpendicular

4 x - 2 y = 7

Frequently Asked Questions (FAQ)

What is the extreme 4x-7x^{4/7} ?
The extreme 4x-7x^{4/7} is Maximum(1,-3)