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Popular >

inflection f(x)=-x^3+2x^2+1

Solution

inflection points

f (x) = - x^{3} + 2 x^{2} + 1

Solution

(\frac{2}{3}, \frac{43}{27})

Solution steps

f^{''} (x) = - 6 x + 4

Find intervals:

Concave Upward

: - \infty < x < \frac{2}{3},

Concave Downward

: \frac{2}{3} < x < \infty

Plug

x = \frac{2}{3}

into

- x^{3} + 2 x^{2} + 1 : \frac{43}{27}

(\frac{2}{3}, \frac{43}{27})

Popular Examples

perpendicular y= 1/4 x-3 perpendicular

y = \frac{1}{4} x - 3

slope ofintercept x+y=3 slope intercept

x + y = 3

distance (-2,7.7),(3,-2.3)distance

(- 2, 7.7), (3, - 2.3)

domain of f(x)=sqrt(1-\sqrt{4-x^2)}domain

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

critical f(x)=x^4-128x^2+4096 critical points

f (x) = x^{4} - 128 x^{2} + 4096

Frequently Asked Questions (FAQ)

What is the inflection f(x)=-x^3+2x^2+1 ?
The inflection f(x)=-x^3+2x^2+1 is (2/3 , 43/27)