Higher order derivatives (f"(x)=d/dx[f'(x)];nthderivativeofproduct:Leibnizrule(uv)^(n)=ΣC(n,k))
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f"(x) = d/dx[f'(x)]; nth derivative of product: Leibniz rule (uv)^(n) = Σ C(n,k) u^(k) v^(n−k)
What each symbol means
| Symbol | What it stands for |
|---|---|
| u,v | Functions of x in Leibniz rule |
| f^(n)(x) | nth derivative of f |
When to use this
f must be n-times differentiable. Leibniz rule applies to products of differentiable functions.