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Popular >

inflection y=x^4-4x^3+10

Solution

inflection points

y = 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

inverse of f(x)=(-2)/(x+2)inverse

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

shift y=3sin(x+pi/6)+3 shift

y = 3 sin (x + \frac{π}{6}) + 3

extreme f(x)=x^x extreme points

f (x) = x^{x}

inverse of f(x)= 1/x-3 inverse

f (x) = \frac{1}{x} - 3

parity f(x)= 1/(x^2+9)parity

f (x) = \frac{1}{x ^{2} + 9}

Frequently Asked Questions (FAQ)

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