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Popular >

inflection f(x)=x^5-5x^4

Solution

inflection points

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

Solution

(3, - 162)

Solution steps

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

Find intervals:

Concave Downward

: - \infty < x < 0,

Concave Downward

: 0 < x < 3,

Concave Upward

: 3 < x < \infty

Plug

x = 3

into

x^{5} - 5 x^{4} : - 162

(3, - 162)

Popular Examples

asymptotes of f(x)=(x^2-x+6)/(x+3)asymptotes

f (x) = \frac{x ^{2} - x + 6}{x + 3}

distance (0,1),(8,7)distance

(0, 1), (8, 7)

domain of-2.318+0.2356x-0.002674x^2 domain

- 2.318 + 0.2356 x - 0.002674 x^{2}

distance (1,0),(-5,-6)distance

(1, 0), (- 5, - 6)

inverse of f(x)=(-3x)/(3x-4)inverse

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

Frequently Asked Questions (FAQ)

What is the inflection f(x)=x^5-5x^4 ?
The inflection f(x)=x^5-5x^4 is (3,-162)