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 2926 views around the world You can reuse this answer Creative Commons License