e^0 equals 1 for all numbers. Exponentiation is iterative multiplication of base by itself. Positive exponents (n) multiply base n times. Negative exponents (n) are reciprocal of base
e^Infinity represents an exponential function using the constant e. e is approximately equal to 2.71828 and serves as the base of natural logarithm. The limit of e^Infinity as x approaches infinity is infinity. e^Infinity grows faster than any polynomial function. The derivative of e^Infinity is itself
Exponential functions have form f(x) = ax, where a > 0. The derivative of e^2x is 2e^2x. The base 'e' is approximately 2.718
Logarithms are another way to express exponents. John Napier introduced logarithms for simple calculations. Natural logarithm (ln) uses base e, common logarithm (log) uses base 10
Integration assigns numbers to functions for displacement, area, and volume calculations. Integral of e^2x is its antiderivative, which equals e^2x/2. Integration can handle various functions including trigonometric, algebraic, and exponential
Logarithms are the inverse of exponentiation. Logarithm of a number with base b equals another number. John Napier introduced logarithms in 17th century