Question 413110
We wish to find {{{(d/dx)((-11x)/(sin(x) + cos(x)))}}}. Applying the quotient rule,


{{{(d/dx)((-11x)/(sin(x) + cos(x))) = (-11(sin(x) + cos(x)) - (-11x)(cos(x) - sin(x)))/(sin(x) + cos(x))^2}}}.


I'll let you simplify this further. Seems like it simplifies to a relatively nice expression.