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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, 1)

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 : 1

(1, 1)

Popular Examples

intercepts of f(x)=-sqrt(x)+3 intercepts

f (x) = - x + 3

periodicity of 4sin(6x-pi)periodicity

4 sin (6 x - π)

domain of f(x)=((x-2)/(x-1))domain

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

symmetry 3(x-2)(x+4)symmetry

3 (x - 2) (x + 4)

inverse of f(x)= 5/(8x)+25/8 inverse

f (x) = \frac{5}{8 x} + \frac{25}{8}

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 (1,1)