How do you differentiate #f(x)=3x+xtanx#?

1 Answer
Feb 2, 2017

#f'(x)=3+xsec^2(x)+tan(x)#

Explanation:

#d/dx(f(x))=d/dx(3x+xtan(x))#
#f'(x)=d/dx(3x)+d/dx(xtan(x))#
#f'(x)=3+x d/dx(tan(x))+d/dx(x)tan(x)#
#f'(x)=3+xsec^2(x)+tan(x)#