Question #0e5c1 Calculus Differentiating Trigonometric Functions Derivative Rules for y=cos(x) and y=tan(x) 1 Answer Michael Mar 13, 2016 #dy/dx=(2x)/((cosy+1))# Explanation: #y+siny=x^2# Use implicit differentiation with respect to #x# on both sides of the equation: #D(y+siny)=D(x^2)# #:.dy/dx+cosy.dy/dx=2x# #:.dy/dx(cosy+1)=2x# #:.dy/dx=(2x)/((cosy+1))# Answer link Related questions What is the derivative of #y=cos(x)# ? What is the derivative of #y=tan(x)# ? How do you find the 108th derivative of #y=cos(x)# ? How do you find the derivative of #y=cos(x)# from first principle? How do you find the derivative of #y=cos(x^2)# ? How do you find the derivative of #y=e^x cos(x)# ? How do you find the derivative of #y=x^cos(x)#? How do you find the second derivative of #y=cos(x^2)# ? How do you find the 50th derivative of #y=cos(x)# ? How do you find the derivative of #y=cos(x^2)# ? See all questions in Derivative Rules for y=cos(x) and y=tan(x) Impact of this question 1419 views around the world You can reuse this answer Creative Commons License