How do you find the derivative of # csc^-1 (u)#? Calculus Basic Differentiation Rules Summary of Differentiation Rules 1 Answer Monzur R. Feb 27, 2017 #dx/(du)=-1/(usqrt(u^2-1))# Explanation: Let #x=csc^-1u# #u=cscx# #(du)/dx=-cscxcotx# #1+cot^2x=csc^2x=u^2# #cotx=sqrt(u^2-1)# #(du)/dx=-usqrt(u^2-1)# #dx/(du)=-1/(usqrt(u^2-1))# Answer link Related questions What is a summary of Differentiation Rules? What are the first three derivatives of #(xcos(x)-sin(x))/(x^2)#? How do you find the derivative of #(e^(2x) - e^(-2x))/(e^(2x) + e^(-2x))#? How do I find the derivative of #y= x arctan (2x) - (ln (1+4x^2))/4#? How do you find the derivative of #y = s/3 + 5s#? What is the second derivative of #(f * g)(x)# if f and g are functions such that #f'(x)=g(x)#... How do you calculate the derivative for #g(t)= 7/sqrtt#? Can you use a calculator to differentiate #f(x) = 3x^2 + 12#? What is the derivative of #ln(x)+ 3 ln(x) + 5/7x +(2/x)#? How do you find the formula for the derivative of #1/x#? See all questions in Summary of Differentiation Rules Impact of this question 7267 views around the world You can reuse this answer Creative Commons License