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Popular >

inflection f(x)=x^4-4x^3+10

Solution

inflection points

f (x) = x^{4} - 4 x^{3} + 10

Solution

(0, 10), (2, - 6)

Solution steps

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

Find intervals:

Concave Upward

: - \infty < x < 0,

Concave Downward

: 0 < x < 2,

Concave Upward

: 2 < x < \infty

Plug

x = 0

into

x^{4} - 4 x^{3} + 10 : 10

(0, 10)

Plug

x = 2

into

x^{4} - 4 x^{3} + 10 : - 6

(2, - 6)

(0, 10), (2, - 6)

Popular Examples

inflection x(x-4)^3 inflection points

x (x - 4)^{3}

inverse of f(x)= 5/(\sqrt[3]{x-2)}inverse

range of f(x)=(1/8)^x range

f (x) = (\frac{1}{8})^{x}

domain of f(x)= 4/(1-e^x)domain

f (x) = \frac{4}{1 - e ^{x}}

domain of (4-x)/(x(x-3))domain

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

Frequently Asked Questions (FAQ)

What is the inflection f(x)=x^4-4x^3+10 ?
The inflection f(x)=x^4-4x^3+10 is (0,10),(2,-6)