ik it’s taking the derivative of a derivative but idk how you’re meant to do that
In: Mathematics
Remember that the result of a derivative of a function is another function. So you can then (if your function permits it) take the derivative again:
f(x) is some differentiable function
df/dx is its derivative. Now we call this function something else:
g(x)=df/dx
g(x) is some function. Let’s assume it’s also differentiable, then we can take the derivative of g(x):
dg/dx
And if we wanted, we could cobtinue doing this ad infinitum. As long as thz function permits it. For instance all functions with an exponential part are infinitely differentiable:
f(x)=A*exp(b*x)
df/dx=b*A*exp(b*x)=b*f(x)
And so:
d^(2)/dx^(2)=
d(b*f(x))/dx=
b*df/dx=
b*b*f=b^(2)*f
Differentiated again, it becomes b^(3)*f, tgen b^(4)*f, etc.
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