Question #c7e5d Calculus Basic Differentiation Rules Quotient Rule 1 Answer A. S. Adikesavan Feb 17, 2017 #sec^2(x-pi/4))# Explanation: #f=(cosx(tanx-1))/(cosx(tanx+1))# #=(tanx-tan(pi/4))/(1+tanxtan(pi/4))# #=tan(x-pi/4)#. So, #f'=sec^2(x-pi/4)(x-pi/4)'=sec^2(x-pi/4)# 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 2027 views around the world You can reuse this answer Creative Commons License