Question #400e8 Calculus Derivatives Differentiable vs. Non-differentiable Functions 1 Answer sjc Mar 12, 2017 #(dy)/(dx)=tanx+xsec^2x# Explanation: this will require the product rule for differentiation #y=uv=>(dy)/(dx)=u'v+uv'# where both #" "u" " & " "v" are both functions of" #x# #y=xtanx# #u=x=>u'=1# #v=tanx=>v'=sec^2x# #(dy)/(dx)=tanx+xsec^2x# Answer link Related questions What are non differentiable points for a function? What does differentiable mean for a function? What are non differentiable points for a graph? How do you find the non differentiable points for a function? How do you find the non differentiable points for a graph? What are differentiable points for a function? How do you find the differentiable points for a graph? What is the derivative of a unit vector? On what interval is the function #ln((4x^2)+9)# differentiable? How do you find the partial derivative of the function #f(x,y)=intcos(-7t^2-6t-1)dt#? See all questions in Differentiable vs. Non-differentiable Functions Impact of this question 2574 views around the world You can reuse this answer Creative Commons License