Exponential Functions Summary

Differentiation of Exponential Functions

Summary

 

the exponential function f(x) = ex is a special function. it is the only function which is its own derivative.

this means that at any point on the graph of the exponential function the gradient of the curve at that point is equal to the value of the function (the y-value) at that point.

Key Skills
  • differentiate exponential functions
  • use the chain rule to differentiate more complex exponential functions

Vocabulary

exponential function, derivative, series, chain rule.