The exponential function - Math Insight The exponential function is one of the most important functions in mathematics (though it would have to admit that the linear function ranks even higher in importance). To form an exponential function, we let the independent variable be the exponent . Exponential function - Simple English Wikipedia, the free The exponential function satisfies an interesting and important property in differential calculus: = This means that the slope of the exponential function is the exponential function itself, and as a result has a slope of 1 at =. These properties are the reason it is an important function in mathematics. Applications. The Exponential Function Formula With Solved Example Questions The exponential function formula is a mathematical expression in which a variable represents the exponent of an expression. To recall, an exponential function is a function whose value is raised to a certain power. Formula for Exponential Function. The exponential function formula is given as, Exponential Function Reference - MATH Exponential Function Reference. This is the general Exponential Function (see below for e x): f(x) = a x. a is any value greater than 0. Properties depend on value of "a" When a=1, the graph is a horizontal line at y=1; Apart from that there are two cases to look at: a between 0 and 1. Exponential Equation | Definition of Exponential Equation Exponential equation definition is - an equation involving exponential functions of a variable.