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Popular >

inflection f(x)= 3/5 x^5-5x^4

Solution

inflection points

f (x) = \frac{3}{5} x^{5} - 5 x^{4}

Solution

(5, - 1250)

Solution steps

f^{''} (x) = 12 x^{3} - 60 x^{2}

Find intervals:

Concave Downward

: - \infty < x < 0,

Concave Downward

: 0 < x < 5,

Concave Upward

: 5 < x < \infty

Plug

x = 5

into

\frac{3}{5} x^{5} - 5 x^{4} : - 1250

(5, - 1250)

Popular Examples

range of f(x)=sqrt(x-3)+2 range

f (x) = x - 3 + 2

inverse of f(x)= 7/(x+6)inverse

f (x) = \frac{7}{x + 6}

critical 2700x+(1555200)/x critical points

2700 x + \frac{1555200}{x}

domain of f(x)= x/(1-ln(x-4))domain

f (x) = \frac{x}{1 - ln ( x - 4 )}

intercepts of (x^3)/((x-1)^2)intercepts

\frac{x ^{3}}{( x - 1 ) ^{2}}

Frequently Asked Questions (FAQ)

What is the inflection f(x)= 3/5 x^5-5x^4 ?
The inflection f(x)= 3/5 x^5-5x^4 is (5,-1250)