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Popular >

inflection f(x)=-4x^4+24x^2

Solution

inflection points

f (x) = - 4 x^{4} + 24 x^{2}

Solution

(- 1, 20), (1, 20)

Solution steps

f^{''} (x) = - 48 x^{2} + 48

Find intervals:

Concave Downward

: - \infty < x < - 1,

Concave Upward

: - 1 < x < 1,

Concave Downward

: 1 < x < \infty

Plug

x = - 1

into

- 4 x^{4} + 24 x^{2} : 20

(- 1, 20)

Plug

x = 1

into

- 4 x^{4} + 24 x^{2} : 20

(1, 20)

(- 1, 20), (1, 20)

Popular Examples

slope ofintercept y-4= 9/7 (x-4)slope intercept

y - 4 = \frac{9}{7} (x - 4)

slope of y=-3x+3 slope

y = - 3 x + 3

intercepts of y=x^2-6x+5 intercepts

y = x^{2} - 6 x + 5

range of 7/(3+e^x)range

\frac{7}{3 + e ^{x}}

monotone f(x)=((x+1)^2)/(x-4)monotone intervals

f (x) = \frac{( x + 1 ) ^{2}}{x - 4}

Frequently Asked Questions (FAQ)

What is the inflection f(x)=-4x^4+24x^2 ?
The inflection f(x)=-4x^4+24x^2 is (-1,20),(1,20)