How do you find the derivative of #p(x)=f(g(h(k(x))))#? Calculus Basic Differentiation Rules Chain Rule 1 Answer Massimiliano Feb 20, 2015 The derivative is, with the chain rule: #p'(x)=f'(g(h(k(x)))) * g'(h(k(x))) * h'(k(x)) * k'(x)#. 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 1928 views around the world You can reuse this answer Creative Commons License