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Popular >

inflection f(x)=x^7+7x^3+1

Solution

inflection points

f (x) = x^{7} + 7 x^{3} + 1

Solution

(0, 1)

Solution steps

f^{''} (x) = 42 x^{5} + 42 x

Find intervals:

Concave Downward

: - \infty < x < 0,

Concave Upward

: 0 < x < \infty

Plug

x = 0

into

x^{7} + 7 x^{3} + 1 : 1

(0, 1)

Popular Examples

perpendicular y=-4x-6,(9,4)perpendicular

y = - 4 x - 6, (9, 4)

inverse of f(x)=arccos(x)inverse

f (x) = arccos (x)

domain of \sqrt[3]{x}-3 domain

asymptotes of f(x)=(x+3)/((x-1)(x+3))asymptotes

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

line (3,2),(5,8)line

(3, 2), (5, 8)

Frequently Asked Questions (FAQ)

What is the inflection f(x)=x^7+7x^3+1 ?
The inflection f(x)=x^7+7x^3+1 is (0,1)