Differentiation

Differentiation of Log x (Logarithmic Function)

Here you will learn differentiation of log x i.e logarithmic function by using first principle and its examples. Let’s begin – Differentiation of Logarithmic Function (1) Differentiation of log x  or \(log_e x\): The differentiation of \(log_e x\), x > 0 with respect to x is \(1\over x\). i.e. \(d\over dx\) \(log_e x\) = \(1\over …

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Differentiation of Exponential Function

Here you will learn differentiation of exponential function by using first principle and its examples. Let’s begin – Differentiation of Exponential Function (1) Differentiation of \(e^x\) : The differentiation of \(e^x\) with respect to x is \(e^x\). i.e. \(d\over dx\) \(e^x\) = \(e^x\) Proof Using first Principle : Let f(x) = \(e^x\). Then, f(x + …

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