How do you find the derivative of #2secx-cscx#? Calculus Differentiating Trigonometric Functions Derivatives of y=sec(x), y=cot(x), y= csc(x) 1 Answer Sonnhard Jun 9, 2018 #2sec(x)tan(x)+csc(x)*cot(x)# Explanation: Writing your function as #f(x)=2(cos(x))^(-1)-(sin(x))^(-1)# so we get #f'(x)=-2(cos(x))^(-2)(-sin(x))+(sin(x))^(-2)*cos(x)# and this is #f'(x)=2sec(x)tan(x)+csc(x)*cot(x)# Answer link Related questions What is Derivatives of #y=sec(x)# ? What is the Derivative of #y=sec(x^2)#? What is the Derivative of #y=x sec(kx)#? What is the Derivative of #y=sec ^ 2(x)#? What is the derivative of #y=4 sec ^2(x)#? What is the derivative of #y=ln(sec(x)+tan(x))#? What is the derivative of #y=sec^2(x)#? What is the derivative of #y=sec^2(x) + tan^2(x)#? What is the derivative of #y=sec^3(x)#? What is the derivative of #y=sec(x) tan(x)#? See all questions in Derivatives of y=sec(x), y=cot(x), y= csc(x) Impact of this question 5529 views around the world You can reuse this answer Creative Commons License