How does Leibniz notation work for second derivatives? Calculus Derivatives Standard Notation and Terminology 1 Answer Wataru Sep 7, 2014 The Leibniz notation for #y''# is #{d^2y}/{dx^2}#. For example, if #y=sinx#, then #{dy}/{dx}=d/{dx}(sinx)=cosx# and #{d^2y}/{dx^2}=d/dx(cosx)=-sinx#. Answer link Related questions How does Leibniz notation work? How does Leibniz notation work for first derivatives? What is Lebniz Notation for the second derivative of #y=f(x)# ? Find the derivative of #y=3tan^-1(x+sqrt(1+x^2))#? See all questions in Standard Notation and Terminology Impact of this question 2630 views around the world You can reuse this answer Creative Commons License