Differentiate f(x) = xe^x csc(x)

Question

Differentiate f(x) = xe^x csc(x)

Answer 1

To differentiate this function, we must use the product rule of differentiation:

 

y = f(x) * g(x) * h(x)

 

y' = f'(x)*g(x)*h(x) + f(x)*g'(x)*h(x) + f(x)*g(x)*h'(x) = 

 

e^x(csc x) + xe^x(csc x) - xe^x(csc x)(cot x)