Derivative of e lt;sup gt;x lt; sup gt; - GeeksforGeeks Derivative of ex is ex The derivative of ex means the change in the exponential with respect to x It is denoted by d (ex) dx It is written as f' (x) = ex, where 'e' is the Euler's number and its value is approximately 2 718 Formula for the derivative of ex is given below, d (ex) dy = ex (ex)' = ex What is the Derivative of ex?
Derivative of e^x using First Principle of Derivatives We will prove that the derivative of e^x is equal to e^x with the first principle of derivatives Firstly, apply lim h → 0 (e^ (x + h) - e^x) h Then we will simplify the nominator and denominator