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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