Question 1028454
Let {{{y = (x^2+5)^(cot2x)}}}

==> {{{lny = (cot2x)*ln(x^2+5)}}}

Differentiating,

{{{(dy/dx)/y = -csc^2(2x)*2ln(x^2+5)+cot(2x)*((2x)/(x^2+5))}}}

<==> {{{(dy/dx)/y = -2csc^2(2x)*ln(x^2+5)+((2x)*cot(2x))/(x^2+5)}}}

==>{{{dy/dx = -2csc^2(2x)*(x^2+5)^(cot2x)*ln(x^2+5)+((2x)*cot(2x)*(x^2+5)^(cot2x))/(x^2+5)}}}