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Popular >

inflection f(x)=x^4-4x^3+7

Solution

inflection points

f (x) = 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

critical-4cos(3x+pi/6)+1 critical points

- 4 cos (3 x + \frac{π}{6}) + 1

domain of (-2)/(sqrt(x^2-5x+6))domain

\frac{- 2}{x ^{2} - 5 x + 6}

domain of 2x^2+x-6 domain

2 x^{2} + x - 6

extreme f(x)=-(x+1)(x-1)^2 extreme points

f (x) = - (x + 1) (x - 1)^{2}

inverse of f(x)=\sqrt[4]{4-4x},x<= 1 inverse

Frequently Asked Questions (FAQ)

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