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Popular >

inflection x^4-7x^3

Solution

inflection points

x^{4} - 7 x^{3}

Solution

(0, 0), (\frac{7}{2}, - \frac{2401}{16})

Solution steps

f^{''} (x) = 12 x^{2} - 42 x

Find intervals:

Concave Upward

: - \infty < x < 0,

Concave Downward

: 0 < x < \frac{7}{2},

Concave Upward

: \frac{7}{2} < x < \infty

Plug

x = 0

into

x^{4} - 7 x^{3} : 0

(0, 0)

Plug

x = \frac{7}{2}

into

x^{4} - 7 x^{3} : - \frac{2401}{16}

(\frac{7}{2}, - \frac{2401}{16})

(0, 0), (\frac{7}{2}, - \frac{2401}{16})

Popular Examples

domain of 5/(x-7)domain

\frac{5}{x - 7}

periodicity of sin(7x)periodicity

sin (7 x)

perpendicular 6x-9y=-54 perpendicular

6 x - 9 y = - 54

intercepts of f(x)=(x+3)/(x^2-9)intercepts

f (x) = \frac{x + 3}{x ^{2} - 9}

asymptotes of f(x)=(6/5)^{-x}asymptotes

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

Frequently Asked Questions (FAQ)

What is the inflection x^4-7x^3 ?
The inflection x^4-7x^3 is (0,0),(7/2 ,-2401/16)