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Popular Functions >

inflection f(x)=7x^4-42x^2

Solution

inflection

Solution

(- 1, - 35), (1, - 35)

Solution steps

f^{''} (x) = 84 x^{2} - 84

Find intervals:

Concave Upward

: - \infty < x < - 1,

Concave Downward

: - 1 < x < 1,

Concave Upward

: 1 < x < \infty

Plug

x = - 1

into

7 x^{4} - 42 x^{2} : - 35

(- 1, - 35)

Plug

x = 1

into

7 x^{4} - 42 x^{2} : - 35

(1, - 35)

(- 1, - 35), (1, - 35)

Graph

Popular Examples

domain of f(x)=\sqrt[3]{x^2}

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

asymptotes of (x^2-3x)/(x+1)

symmetry y=3(x-2)(x+4)

critical f(x)=2x^3+2x^2-2x

Frequently Asked Questions (FAQ)

What is the inflection f(x)=7x^4-42x^2 ?
The inflection f(x)=7x^4-42x^2 is (-1,-35),(1,-35)