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Popular >

extreme f(x)=x^5+x^4

Solution

extreme points

f (x) = x^{5} + x^{4}

Solution

Maximum (- \frac{4}{5}, \frac{256}{3125}), Minimum (0, 0)

Solution steps

f^{'} (x) = 5 x^{4} + 4 x^{3}

Find intervals:

Increasing

: - \infty < x < - \frac{4}{5},

Decreasing

: - \frac{4}{5} < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - \frac{4}{5}

into

x^{5} + x^{4} : \frac{256}{3125}

Maximum (- \frac{4}{5}, \frac{256}{3125})

Plug

x = 0

into

x^{5} + x^{4} : 0

Minimum (0, 0)

Maximum (- \frac{4}{5}, \frac{256}{3125}), Minimum (0, 0)

Popular Examples

inverse of 3/4 x-6 inverse

\frac{3}{4} x - 6

domain of f(x)= 1/(3x+7)domain

f (x) = \frac{1}{3 x + 7}

range of f(x)=3^{x-4}range

f (x) = 3^{x - 4}

asymptotes of f(x)=3^{x+5}asymptotes

f (x) = 3^{x + 5}

inverse of f(x)=(1+5x)/(6-6x)inverse

f (x) = \frac{1 + 5 x}{6 - 6 x}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^5+x^4 ?
The extreme f(x)=x^5+x^4 is Maximum(-4/5 , 256/3125),Minimum(0,0)