**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 \[x\].

*play_arrow*Introduction*play_arrow*Some Standard Differentiation*play_arrow*Theorems for Differentiation*play_arrow*Methods of Differentiation*play_arrow*Differentiation of a Function with Respect to Another Function*play_arrow*Successive Differentiation or Higher Order Derivatives*play_arrow*\[{{n}^{th}}\] Derivative Using Partial Fractions*play_arrow*Differentiation of Integral Function*play_arrow*Leibnitz?s Theorem*play_arrow*Definition*play_arrow*Higher Partial Derivatives*play_arrow*Euler's Theorem on Homogeneous Functions*play_arrow*Deduction of Euler?s Theorem*play_arrow*Derivative as the Rate of Change

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