Tuesday

January 27, 2015

January 27, 2015

Posted by **ravinder** on Thursday, November 22, 2012 at 9:45pm.

y=f(x)=x^3/(1-(x^2))

Use the information about the derivatives to determine any local maxima and minima, regions where the curve iss concave up or down, and any inflection points

- math -
**Steve**, Thursday, November 22, 2012 at 11:54pmy = x^3/(1-x^2)

y' = -x^2(x-3)/(1-x^2)^2

y'' = -2x(x^2+3)/(1-x^2)^3

since the denominator is always positive or 0, y' and y'' are zero when the numerators are zero, and undefined at x=±1.

Now it should be easy to read off the increasing/decreasing/concavity intervals.

**Answer this Question**

**Related Questions**

basic calculus - use the first and second derivatives to find the x-coordinates ...

Calc - 1. Find values of a,b,c, and d such that g(x) = a(x^3)+b(x^2)+cx+d has a ...

college algebra - Let f(x)= x^5/120 - x^3/6 + x Find the local minima and maxima...

Calculus (urgent!!) - Please answer the following questions about the function f...

Calculus (pleas help!!!) - Please answer the following questions about the ...

Calculus (pleas help!!!) - Please answer the following questions about the ...

increasing decreasing and more - How to analytically find the intervals on which...

Calculus - Suppose that f(x)=3x^3+3x. Find all critical values of f. Then use ...

math about to have a test over this please help! - Unfortunately that is the ...

How to sketch graph of... - a differentiable function y =f(x) that has the given...