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Popular >

inflection f(x)=x^6+6x^5

Solution

inflection points

f (x) = x^{6} + 6 x^{5}

Solution

(- 4, - 2048), (0, 0)

Solution steps

f^{''} (x) = 30 x^{4} + 120 x^{3}

Find intervals:

Concave Upward

: - \infty < x < - 4,

Concave Downward

: - 4 < x < 0,

Concave Upward

: 0 < x < \infty

Plug

x = - 4

into

x^{6} + 6 x^{5} : - 2048

(- 4, - 2048)

Plug

x = 0

into

x^{6} + 6 x^{5} : 0

(0, 0)

(- 4, - 2048), (0, 0)

Popular Examples

symmetry 0=2x^6-5x symmetry

0 = 2 x^{6} - 5 x

inverse of (-12-2n)/3 inverse

\frac{- 12 - 2 n}{3}

inverse of f(x)= 2/(x-1)+3 inverse

f (x) = \frac{2}{x - 1} + 3

parity f(x)=(2x^6-6x^5-8)/(2x^3-8x^2-10)parity

f (x) = \frac{2 x ^{6} - 6 x ^{5} - 8}{2 x ^{3} - 8 x ^{2} - 10}

intercepts of f(x)= 2/(x+1)intercepts

f (x) = \frac{2}{x + 1}

Frequently Asked Questions (FAQ)

What is the inflection f(x)=x^6+6x^5 ?
The inflection f(x)=x^6+6x^5 is (-4,-2048),(0,0)