How can you find a function, if you already know the rate of change of the function?

1 Answer
Wataru
Oct 28, 2014

If you know the formula of f'(x), then you can find the formula f(x) except for its constant term by taking an antiderivative

f(x)=\int f'(x)dx.

If you have an additional information about f(x) such as a point on the graph of f, then you will be able to find its constant term as well.

I hope that this was helpful.

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