Question
differentiate
sqrt( {1 + x exp(n)} / { 1 - x exp(n) } )
Answer
I think you mean x^n (x raised to the power of n, rather than the exponential function of n....if you do mean the exponential function of n, then we have to know the relationship between x and n....)<BR><BR>But, the best way to do this problem is to do u-substitution<BR><BR>d/dx [ u^1/2 ] = 1/2 * u^(-1/2) * du/dx<BR><BR>u is the argument of the sqrt() function. Let's rewrite it as 1 + (2x^n)/(1-x^n).<BR><BR>The derivative of a quotient is 1 over the denominator squared times [denominator times the derivative of the numerator minus the numerator times the derivative of the denominator].<BR><BR>Now the derivative of the numerator is just 2n*x^(n-1).<BR>The derivative of the denominator is (-n)*x^(n-1).<BR><BR>Otherwise, it's plug-and-chug.<BR><BR>Joe M.<BR>Forest Inventory and Analysis<BR>Knoxville, TN<BR><BR><BR>
Joe
http://vrd.askvrd.org/services/answerschema.xml
