Derivative of (x^(-1)*sin(pi*x))

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Derivative of (x^(-1)*sin(pi*x)): 


(x^-1*sin(pi*x))'

(x^-1)'*sin(pi*x)+x^-1*(sin(pi*x))'

x^-1*(sin(pi*x))'-1*x^(-1-1)*sin(pi*x)

x^-1*(sin(pi*x))'-x^-2*sin(pi*x)

x^-1*cos(pi*x)*(pi*x)'-x^-2*sin(pi*x)

x^-1*cos(pi*x)*((pi)'*x+pi*(x)')-x^-2*sin(pi*x)

x^-1*cos(pi*x)*(0*x+pi*(x)')-x^-2*sin(pi*x)

x^-1*cos(pi*x)*(0*x+pi*1)-x^-2*sin(pi*x)

x^-1*pi*cos(pi*x)-x^-2*sin(pi*x)

pi*x^-1*cos(pi*x)-(x^-2*sin(pi*x))

The calculation above is a derivative of the function f (x)

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