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Popular >

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

Solution

inflection points

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

Solution

(1, 3)

Solution steps

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

Find intervals:

Concave Upward

: - \infty < x < 1,

Concave Downward

: 1 < x < \infty

Plug

x = 1

into

- x^{3} + 3 x^{2} + 1 : 3

(1, 3)

Popular Examples

periodicity of-1/3 sin(-4x)periodicity

- \frac{1}{3} sin (- 4 x)

symmetry y=x^2+3x symmetry

y = x^{2} + 3 x

asymptotes of f(x)=((x^2+1))/x asymptotes

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

intercepts of f(x)=sqrt(x-1)intercepts

f (x) = x - 1

inverse of f(x)=9x^2 inverse

f (x) = 9 x^{2}

Frequently Asked Questions (FAQ)

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