How do you differentiate #f(x)=tan(e^(x^2)) # using the chain rule? Calculus Basic Differentiation Rules Chain Rule 1 Answer Sihan Tawsik Jan 31, 2016 here is how, Explanation: #d/(dx)(f(x))# #=d/(dx)(tan(e^(x^2)))# #=sec^2(e^(x^2))d/(dx)(e^(x^2))# #=e^(x^2)sec^2(e^(x^2))d/(dx)(x^2)# #=2xe^(x^2)sec^2(e^(x^2))# 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 2721 views around the world You can reuse this answer Creative Commons License