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Popular >

inflection f(x)=x^8-8x^7

Solution

inflection points

f (x) = x^{8} - 8 x^{7}

Solution

(0, 0), (6, - 559872)

Solution steps

f^{''} (x) = 56 x^{6} - 336 x^{5}

Find intervals:

Concave Upward

: - \infty < x < 0,

Concave Downward

: 0 < x < 6,

Concave Upward

: 6 < x < \infty

Plug

x = 0

into

x^{8} - 8 x^{7} : 0

(0, 0)

Plug

x = 6

into

x^{8} - 8 x^{7} : - 559872

(6, - 559872)

(0, 0), (6, - 559872)

Popular Examples

extreme f(x)=x^3+2x^2 extreme points

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

midpoint (5,9),(6,-1)midpoint

(5, 9), (6, - 1)

inverse of y=(3-x)/(x+1)inverse

y = \frac{3 - x}{x + 1}

range of f(x)=(x+4)^2-9 range

f (x) = (x + 4)^{2} - 9

extreme f(x)=x(75-3x)extreme points

f (x) = x (75 - 3 x)

Frequently Asked Questions (FAQ)

What is the inflection f(x)=x^8-8x^7 ?
The inflection f(x)=x^8-8x^7 is (0,0),(6,-559872)