subject: Sum Of Exponential Functions [print this page] In this article we are going to discuss about an exponential functions.In this article we are giving the exponential function definitions and some example problems to the sum of exponential functions.
This is the article based on algebra exponential functions, an exponential functions is the mathematical functions in the form of f(x) = e^x. Here x is the variable and e is the exponential functions in the base which is equal to 2.71828. When the function increased by 1, the value of the function also increases by a factor e. when the functions decreased by 1, the value of the function also decreased by same factor e.
In the exponential is the function ex, where e is the digit such to the significance ex the similar its include derived. The exponential function is develop to constitution happening when a constant modify in the self-determining variable provide the similar proportional vary in the dependent variable. The exponential function is normally written while exp(x), mainly when the contribution is an expression also complex to be writing as an exponent.
Defintion of exponential functions:
The following function is called the exponential function.
F(x)=e^x
In otherway it is represented as e^xp(x) .In this exponential function the e value is approximately equal to 2.71828.
Basic Properties of exponential Function:
1.e^a*eb = e^a+b
2.e^a/eb = e^a-b
3.eln(x) = x
4.ln(e^x) = x
5.e^0=1
Sum of exponential functions:
examples to Sum of exponential Functions:
example -1 sum of exponential function:
Solve the sum of exponential function, f ( x ) = 'e^4 e^2'
Solution:
The given function is f (x) = 'e^4 e^2'
The given function is of the form 'e^a xx e^b=e^(a+b)'
Therefore we can solve the given function by using the formula
f (x) = 'e^4xxe^2'
=' e^(4+2)'
So we get, f (x) = 'e^6'
=403.42
example -2 Sum of exponential Function:
Solve the sum of exponential function, f ( x ) = ' e^2 e^2'
Solution:
The given function is f (x) = 'e^2 e^2'
The given function is of the form 'e^a xx e^b=e^(a+b)'
Therefore we can solve the given function by using the formula
f (x) = 'e^2xxe^2'
=' e^(2+2)'
So we get, f (x) = e^4
Therefore the solution for the given function will be f (x) = 'e^4' =' e^6'
=403.42
example 3 sum of exponential function:
Solve the sum of exponential function, f ( x ) = 'e^3e^6'
Solution:
The given function is f (x) =' e^3e^6'
The given function is of the form 'e^a xx e^b=e^(a+b)'
Therefore we can solve the given function by using the formula
f (x) = 'e^3xxe^6'
= 'e^(3+6)'
So we get, f (x) =' e^9'
Therefore the solution for the given function will be f (x) = 'e^3e^6 = e^9'
