Calcplease help!
posted by Haley on .
What is the second derivative of (x^3)/(x^21)? And how would I accurately graph both the derivative and the second derivative of this function?

Just do a web search for online graphing calculators. There are bunches.
y = x^{3}/(x^{2}1)
y' = [3x^{2} * (x^{2}1)  x^{3} * 2x]/(x^{2}1)^{2}
= (x^{4}  3x^{2})/(x^{2}1)^{2}
y'' = [(4x^{3}  6x)(x^21)^{2}  (x^{4}  3x^{2})*2*(x^{2}1)*2x]/(x^{2}1)^{4}
= (2x^{3} + 6x)/(x^{2}1)^{3}