How do you differentiate f(x)=tanx/(cosx-4)f(x)=tanxcosx−4? Calculus Differentiating Trigonometric Functions Special Limits Involving sin(x), x, and tan(x) 1 Answer Monzur R. Feb 12, 2017 f'(x)=(sec^2x(cosx-4)+sinxtanx)/(cosx-4)^2 Explanation: Using the quotient rule, we get: f'(x)=(sec^2x(cosx-4)+sinxtanx)/(cosx-4)^2 Answer link Related questions What are Special Limits Involving y=sin(x)? How do you find the limit lim_(x->0)sin(x)/x ? How do you find the limit lim_(x->0)tan(x)/x ? What is the derivative of tanx^3? What is the derivative of tanx/x? How do you differentiate g(x) =sin^2(x/6) ? How do you differentiate g(x) =(1+cosx)/(1-cosx) ? What is the derivative of tan(2x)? How do you differentiate f(x)=sinx/x? How do you differentiate f(x)=sinx/(1-cosx)? See all questions in Special Limits Involving sin(x), x, and tan(x) Impact of this question 4618 views around the world You can reuse this answer Creative Commons License