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Popular >

inflection f(x)=8x^4-48x^2

Solution

inflection points

f (x) = 8 x^{4} - 48 x^{2}

Solution

(- 1, - 40), (1, - 40)

Solution steps

f^{''} (x) = 96 x^{2} - 96

Find intervals:

Concave Upward

: - \infty < x < - 1,

Concave Downward

: - 1 < x < 1,

Concave Upward

: 1 < x < \infty

Plug

x = - 1

into

8 x^{4} - 48 x^{2} : - 40

(- 1, - 40)

Plug

x = 1

into

8 x^{4} - 48 x^{2} : - 40

(1, - 40)

(- 1, - 40), (1, - 40)

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(2, 3), (5, 1)

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shift y=120sin(20pit-pi/2)shift

y = 120 sin (20 π t - \frac{π}{2})

Frequently Asked Questions (FAQ)

What is the inflection f(x)=8x^4-48x^2 ?
The inflection f(x)=8x^4-48x^2 is (-1,-40),(1,-40)