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Popular >

extreme 20x^3-5x^4

Solution

extreme points

20 x^{3} - 5 x^{4}

Solution

Saddle (0, 0), Maximum (3, 135)

Solution steps

f^{'} (x) = 60 x^{2} - 20 x^{3}

Find intervals:

Increasing

: - \infty < x < 0,

Increasing

: 0 < x < 3,

Decreasing

: 3 < x < \infty

Plug

x = 0

into

20 x^{3} - 5 x^{4} : 0

Saddle (0, 0)

Plug

x = 3

into

20 x^{3} - 5 x^{4} : 135

Maximum (3, 135)

Saddle (0, 0), Maximum (3, 135)

Popular Examples

domain of (3x-5)/(x^2+4x)domain

\frac{3 x - 5}{x ^{2} + 4 x}

critical f(x)=x^{6/7}-3 critical points

f (x) = x^{\frac{6}{7}} - 3

domain of x^2-36 domain

x^{2} - 36

asymptotes of f(x)=xe^{-2x}asymptotes

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

midpoint (-5,-5),(-3,2)midpoint

(- 5, - 5), (- 3, 2)

Frequently Asked Questions (FAQ)

What is the extreme 20x^3-5x^4 ?
The extreme 20x^3-5x^4 is Saddle(0,0),Maximum(3,135)