1.Thederivativeofthesineconstantis0.Analysis:Sincetheresultofthesineconstantisaconstantwithoutx,thederivativeofthesineconstantis0.2.Thederivativeofy=c(wherecisaconstant)is0.3.Thederivativeofy=x^nisnx^(n-1).4.Thederivativeofy=a^xisa^x*ln(a),andthederivativeofy=e^xise^x.5.Thederivativeofy=log_a(x)is(1/x)*log_a(e),andthederivativeofy=ln(x)is1/x.6.Thederivativeofy=sin(x)iscos(x).7.Thederivativeofy=cos(x)is-sin(x).8.Thederivativeofy=tan(x)is1/(cos^2(x)).9.Thederivativeofy=cot(x)is-1/(sin^2(x)).10.Thederivativeofy=arcsin(x)is1/√(1-x^2).