How do you differentiate #f(x)= (1 - sin^2x)/(cosx-1) # using the quotient rule? Calculus Basic Differentiation Rules Quotient Rule 1 Answer harsh s. Jul 31, 2017 see below Explanation: #d/dx((1-sin^2(x))/(cos(x)-1))=d/dx((cos^2(x))/(cos(x)-1))# #=>((cos(x)-1)*d/dx(cos^2(x))-cos^2(x)*d/dx(cos(x)-1))/(cos(x)-1)^2# #=>(sin(x)*cos^2(x)-2*sin(x)cos(x)*(cos(x)-1))/(cos(x)-1)^2# #=>(sin(x)cos(x)*(2-cos(x)))/(cos(x)-1)^2# 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 1496 views around the world You can reuse this answer Creative Commons License