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why differentiation is important

We use differentiation to calculate the rate of change.It is constant for linear functions being the slope of the line.For non - linear functions,the derivative function in the slope of the tangent to the graph of the function at that point.It is the instantaneous rate of change.It is used a lot in physics ,but we also care about it for issues such as rate of exponential grow,rate of exponential decay,rate of reactions.There are uses for derivatives,like differential equations and series expansions.


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