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Popular >

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

Solution

inflection points

f (x) = 7 x^{4} - 42 x^{2}

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)

Popular Examples

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

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

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

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

\frac{x ^{2} - 3 x}{x + 1}

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

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

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

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

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)