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$Ilyas on Instagram: "e^x: 🤫🧏‍♂️🗿 ... When calculating derivatives, several common functions have straightforward rules. The derivative of the exponential function e^x is simply e^x itself, making it unique in calculus. The derivative of the natural logarithm \ln(x) is 1/x, which is fundamental for integrating rational functions. For power functions like x^n, you apply the power rule, which states that the derivative is nx^{n-1}. Finally, the derivatives of the trigonometric functions \sin(x)$