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Popular >

inflection f(x)=4x^4-8x^3+4

Solution

inflection points

f (x) = 4 x^{4} - 8 x^{3} + 4

Solution

(0, 4), (1, 0)

Solution steps

f^{''} (x) = 48 x^{2} - 48 x

Find intervals:

Concave Upward

: - \infty < x < 0,

Concave Downward

: 0 < x < 1,

Concave Upward

: 1 < x < \infty

Plug

x = 0

into

4 x^{4} - 8 x^{3} + 4 : 4

(0, 4)

Plug

x = 1

into

4 x^{4} - 8 x^{3} + 4 : 0

(1, 0)

(0, 4), (1, 0)

Popular Examples

inflection f(x)=3x(x+5)^2 inflection points

f (x) = 3 x (x + 5)^{2}

intercepts of f(x)=2x^2+8x-6 intercepts

f (x) = 2 x^{2} + 8 x - 6

inverse of f(x)=sec(x)inverse

f (x) = sec (x)

inverse of f(x)=-2x-1 inverse

f (x) = - 2 x - 1

inverse of f(x)=-x+1 inverse

f (x) = - x + 1

Frequently Asked Questions (FAQ)

What is the inflection f(x)=4x^4-8x^3+4 ?
The inflection f(x)=4x^4-8x^3+4 is (0,4),(1,0)