How do you differentiate given #y = (x^2 tan x) / (sec x)#? Calculus Basic Differentiation Rules Quotient Rule 1 Answer Shwetank Mauria Jun 20, 2016 #(dy)/(dx)=2xsinx+x^2cosx# Explanation: #y=(x^2tanx)/secx=(x^2sinx/cosx)/(1/cosx)=x^2sinx# Now using product rule #(dy)/(dx)=2xsinx+x^2cosx# Answer link Related questions What is the Quotient Rule for derivatives? How do I use the quotient rule to find the derivative? How do you prove the quotient rule? How do you use the quotient rule to differentiate #y=(2x^4-3x)/(4x-1)#? How do you use the quotient rule to differentiate #y=cos(x)/ln(x)#? How do you use the quotient rule to find the derivative of #y=tan(x)# ? How do you use the quotient rule to find the derivative of #y=x/(x^2+1)# ? How do you use the quotient rule to find the derivative of #y=(e^x+1)/(e^x-1)# ? How do you use the quotient rule to find the derivative of #y=(x-sqrt(x))/(x^(1/3))# ? How do you use the quotient rule to find the derivative of #y=x/(3+e^x)# ? See all questions in Quotient Rule Impact of this question 3601 views around the world You can reuse this answer Creative Commons License