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Consider a function y = f(x) (the derivative of y with respect to x)

dy/dx = f '(x)

d/dx(dy/dx) is called the second order derivative of y w.r.t. x.

d/dx(dy/dx) = d^{2}y/dx^{2 }or D^{2}y or y'' or y_{2}

d/dx(f '(x)) = f '' (x)

Third order derivative of y w.r.t. x = d^{3}y/dx^{3}

Fourth order derivative of y w.r.t. x = d^{4}y/dx^{4}

Consider a function y = f(x) (the derivative of y with respect to x)

dy/dx = f '(x)

d/dx(dy/dx) is called the second order derivative of y w.r.t. x.

d/dx(dy/dx) = d^{2}y/dx^{2 }or D^{2}y or y'' or y_{2}

d/dx(f '(x)) = f '' (x)

Third order derivative of y w.r.t. x = d^{3}y/dx^{3}

Fourth order derivative of y w.r.t. x = d^{4}y/dx^{4}