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With respect to derivative notation...

d/dx(y) //1st derivative of y w.r.t x

d/dx (dy/dx) = d^2y/dx^2 //2nd derivative

d/x (d^2y/dx^2) = d^3y/dx^3 //3rd derivative

If you continue finding derivatives in this way, why do the d's increment in the numerator and not in the denominator while the x's increment in the denominator?

I understand the pattern and even intuitively it makes sense to read: d^2y/dx^2 as the second derivative of y w.r.t x, but I don't understand why the notation behaves this way.

*The formatting changed when I posted. The "//" means comment.

Thanks!

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# I Higher Level Derivative Notation

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