JEE Main & Advanced Mathematics Differentiation Derivative as the Rate of Change

Derivative as the Rate of Change

Category : JEE Main & Advanced

If a variable quantity \[y\] is some function of time \[t\] i.e., \[y=f(t),\] then for a small change in time \[\Delta t\] we have a corresponding change \[\Delta y\] in \[y\]. Thus, the average rate of change \[=\frac{\Delta y}{\Delta t}\]. The differential coefficient of \[y\] with respect to \[x\] i.e., \[\frac{dy}{dx}\] is nothing but the rate of change of \[y\] relative to \[x\].

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