The derivative is the inverse of the integral.
∫ f'(x) dx = f(x) + C
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derivatives are the functions required to find the turning point of curve
They are derivatives with respect to measures in space: normally length, area or volume.
Yes.
The rules of derivatives are composed by the findings of 17th century scientists and mathematicians, Sir Isaac Newton and Gottfried Leibniz.
Most people rarely sit down and think that they are calculating derivatives, however derivatives are used in almost every process that we do. Simple driving uses derivatives to calculate speed. Computers use derivatives for a lot of signal processing algorithms. The stock market uses derivatives to see if a stock how stocks are changing. Anything that relates two values at different times most likely uses a derivative process.