Question

What is the derivative of y=3tan(x)y=3 tan (x) ?

Answer 1

`y=3tanx\\\\tanx=(sinx)/(cosx)\Rightarrow y=(3sinx)/(cosx)\\\\\\y'=((3sinx)'cosx-3sinx(cosx)')/((cosx)^2)=(3cosxcosx-3sinx(-sinx))/(cos^2x)=(3cos^2x+3sin^2x)/(cos^2x)\\\\=(3(cos^2x+sin^2x))/(cos^2x)=(3(1))/(cos^2x)=(3)/(cos^2x)\\\\-------------------\\\\sin^2x+cos^2x=1`

Answer 2

Answer is in the attachment below. Use the "product rule".