3rd  Top calculus topics 
Question 1: This formula connects the exponential function with the trigonometric functions and to the ________.  

Question 2: That is, e^{x} is its own ________ and hence is a simple example of a pfaffian function.  

Question 3: The ________ (rate of change) of the exponential function is the exponential function itself.  

Question 4: Which of the following titles did Exponential function have?



Question 5: The identity exp(x+y) = exp(x)exp(y) can fail for Lie algebra elements x and y that do not commute; the ________ supplies the necessary correction terms.  

Question 6: The exponential function also has analogues for which the argument is a matrix, or even an element of a ________ or a Lie algebra.  

Question 7: In mathematics, the exponential function is the function e^{x}, where e is the number (approximately 2.718281828) such that the function e^{x} equals its own ________.  

Question 8: In fact, many differential equations give rise to exponential functions, including the Schrödinger equation and Laplace's equation as well as the equations for ________.  

Question 9: Euler's formula relates its values at purely imaginary arguments to ________.  

Question 10: The exponential function e^{x} can be defined, in a variety of equivalent ways, as an ________.  

