Question

求下列数的导数(1)y=e^x * cosx(2)y=x^3-1/sinx

Answer 1

y=e^x * cosx

y'=(e^x)'cosx+e^x(cosx)'

=e^xcosx-e^xsinx

=e^x(cosx-sinx)

y=x^3-1/sinx

y'=(x^3)'-(1/sinx)'

=2x^2-(-1/sin^2 x)(sinx)'

=2x^2+cosx/sin^2 x