Differentiate functions step-by-step ; {. ☐. ☐. {. ☐. ☐. ☐. = ; (☐), [☐], ▭ |▭. We have already seen that the derivative of a function f at x=a is f′(a)=limx→af(x)−f(a)x−a=limh→0f(a+h)−f(a)h. We can apply the same idea to get a formula. Definition. Let a function f be differentiable at every point of some open set G. We define the function derivative of f on G as the function f ′.

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