Deffrentiate but dont simplify a) y=(cot 3x)(3e^x^2) b) y=cos^2 3x-tanxcotx


#1

Deffrentiate but dont simplify a) y=(cot 3x)(3e^x^2) b) y=cos^2 3x-tanxcotx

Answer:

a) g(x)=cot(3x) and f(x)=3e^x^2
chain rule dy/dx=g’(x)f(x)+g(x)f’(x)
therefore dy/dx=6
x(e^x^2)(cot(3x))-9(e^x^2)(csc^2(3x))
(multiplication is commutative so the order does not necessarily matter)