It can be represented as the Taylor series x to the n over n factorial for nonnegative integers n, and this function is a solution to the differential equation y'=y ["y prime equals y"], which means the derivative of this function is (*) itself.
This function of -st ["negative ‘s' ‘t'] appears in the integrand for a Laplace transform, and it is also equal to the sum of hyperbolic sine and hyperbolic cosine. It can be represented as the Taylor series x to the n over n factorial for nonnegative integers n, and this function is a solution to the differential equation y'=y ["y prime equals y"], which means the derivative of this function is (*) itself. This function lies entirely above the x-axis, and is equal to the limit as n approaches infinity of quantity "one plus x over n" raised to the nth power. For ten points, identify this function, the inverse of the natural logarithm, that raises Euler's constant to a power of x.
This function of -st ["negative ‘s' ‘t'] appears in the integrand for a Laplace transform, and it is also equal to the sum of hyperbolic sine and hyperbolic cosine.
exponential function [accept y = e^x; read “e to the x power”] &lt;EC&gt;