The function exp(x) is an exponential function with a base of the mathematical constant "e" (approximately equal to 2.71828). It is defined as e to the power of x, where x can be any real number. The function exp(x) increases rapidly as x increases, and approaches infinity as x goes to infinity. Similarly, it decreases very quickly as x moves into negative values and approaches zero as x approaches negative infinity. The function exp(x) is commonly used in mathematical and scientific fields, especially in calculus, statistics, and physics. It has many important applications, such as modeling population growth, radioactive decay, and the charging and discharging of capacitors in electrical circuits.
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