how is differentiation Inverse of Integration ?
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In the end, the integralof the derivative of a function returns to the original function difference between any 2 points the one selects. For that reason, the indefinite integral of f′(x) is the function f(x). ... And so it becomes the inverse of differentiation.
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When you reflect across y=x, you take the reciprocal of the slope. This geometric observation goes a long way toward explaining the general differentiation formula for inverse functions. Suppose that we are given a function f with inverse function f -1.
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