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Popular >

inflection f(x)=-3x^4+18x^2

Solution

inflection points

f (x) = - 3 x^{4} + 18 x^{2}

Solution

(- 1, 15), (1, 15)

Solution steps

f^{''} (x) = - 36 x^{2} + 36

Find intervals:

Concave Downward

: - \infty < x < - 1,

Concave Upward

: - 1 < x < 1,

Concave Downward

: 1 < x < \infty

Plug

x = - 1

into

- 3 x^{4} + 18 x^{2} : 15

(- 1, 15)

Plug

x = 1

into

- 3 x^{4} + 18 x^{2} : 15

(1, 15)

(- 1, 15), (1, 15)

Popular Examples

range of (x^2+3x)/(x(x+4))range

\frac{x ^{2} + 3 x}{x ( x + 4 )}

domain of f(x)=x^2-2x+5 domain

f (x) = x^{2} - 2 x + 5

perpendicular y= 1/5 x+4/5 ,(1,1)perpendicular

y = \frac{1}{5} x + \frac{4}{5}, (1, 1)

domain of f(x)=sqrt(25-t^2)domain

f (x) = 25 - t^{2}

domain of f(t)=(56)/((t+7)^2)domain

f (t) = \frac{56}{( t + 7 ) ^{2}}

Frequently Asked Questions (FAQ)

What is the inflection f(x)=-3x^4+18x^2 ?
The inflection f(x)=-3x^4+18x^2 is (-1,15),(1,15)