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Popular >

inflection-x^4+4x^3-4x+19

Solution

inflection points

- x^{4} + 4 x^{3} - 4 x + 19

Solution

(0, 19), (2, 27)

Solution steps

f^{''} (x) = - 12 x^{2} + 24 x

Find intervals:

Concave Downward

: - \infty < x < 0,

Concave Upward

: 0 < x < 2,

Concave Downward

: 2 < x < \infty

Plug

x = 0

into

- x^{4} + 4 x^{3} - 4 x + 19 : 19

(0, 19)

Plug

x = 2

into

- x^{4} + 4 x^{3} - 4 x + 19 : 27

(2, 27)

(0, 19), (2, 27)

Popular Examples

intercepts of (3x)/(x+6)intercepts

\frac{3 x}{x + 6}

range of f(x)= 2/(x^2-16)range

f (x) = \frac{2}{x ^{2} - 16}

range of-2(3)^x range

- 2 (3)^{x}

parallel y=-2/3 x-5(6.1)parallel

y = - \frac{2}{3} x - 5 (6.1)

range of sin(2x)range

sin (2 x)

Frequently Asked Questions (FAQ)

What is the inflection-x^4+4x^3-4x+19 ?
The inflection-x^4+4x^3-4x+19 is (0,19),(2,27)