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Popular >

inflection x^4-4x^3+7

Solution

inflection points

x^{4} - 4 x^{3} + 7

Solution

(0, 7), (2, - 9)

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} + 7 : 7

(0, 7)

Plug

x = 2

into

x^{4} - 4 x^{3} + 7 : - 9

(2, - 9)

(0, 7), (2, - 9)

Popular Examples

inverse of f(x)=9-x^2,x>= 0 inverse

f (x) = 9 - x^{2}, x \geq 0

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

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

symmetry 9x^2+4y^2=1 symmetry

9 x^{2} + 4 y^{2} = 1

intercepts of f(x)=x^2+x+2 intercepts

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

critical f(x)=2x-3x^{2/3}critical points

f (x) = 2 x - 3 x^{\frac{2}{3}}

Frequently Asked Questions (FAQ)

What is the inflection x^4-4x^3+7 ?
The inflection x^4-4x^3+7 is (0,7),(2,-9)