Question #00562 Calculus Basic Differentiation Rules Chain Rule 1 Answer Monzur R. Aug 12, 2017 #dy/dx=5sec^2x# Explanation: #y=5tanx# We can easily differentiate #tanx# and we don't need to use the chain rule as it's an elementary derivative. #d/dx(5tanx)=5d/dxtanx=5sec^2x# Answer link Related questions What is the Chain Rule for derivatives? How do you find the derivative of #y= 6cos(x^2)# ? How do you find the derivative of #y=6 cos(x^3+3)# ? How do you find the derivative of #y=e^(x^2)# ? How do you find the derivative of #y=ln(sin(x))# ? How do you find the derivative of #y=ln(e^x+3)# ? How do you find the derivative of #y=tan(5x)# ? How do you find the derivative of #y= (4x-x^2)^10# ? How do you find the derivative of #y= (x^2+3x+5)^(1/4)# ? How do you find the derivative of #y= ((1+x)/(1-x))^3# ? See all questions in Chain Rule Impact of this question 1040 views around the world You can reuse this answer Creative Commons License