The exponential function is a mathematical function that can be perfectly used by people in different kinds of real-life scenarios. Mainly this is considered to be the best possible way of finding out the best possible return on the completing of investments, model populations and several other kinds of related aspects. Basically, the exponential function is the mathematical function of the form of FX = A raised to power X where A will be the constant and X will be the variable. In this particular case, it is very much important for the people to be clear about the function base which will be the transcendental number and the approximate value will be 2.71828.
It is very much important for the kids to be clear about this function which can be defined as FX =AX as mentioned above. Apart from this, it can be perfectly used in terms of dealing with two situations which are explained as:
- Exponential growth: In this particular case the quantity will increase very slowly at first and then it will improve rapidly. The rate of change will increase over time at the rate of growth will become faster as time will pass. The rapid growth over here is the basic difference to the exponential increase in the formula is Y = A into 1+ R raised to power X.
- Exponential decay: The quality decrease will be rapidly at first and then it will come out to be slowly. The rate of change decrease will over time be carried out and will become slow as time will pass. So, the formula over here will be Y = A into 1 -R raised to power X.
Apart from this kids also need to be very much clear about the basic function derivative of the whole system so that there is no problem at any point in time and special properties are also perfectly understood by the people in the whole process. It is also important for the people to be clear about the exponential series so that there is no issue at the time of solving the questions and everything will be undertaken in the best possible manner. Being clear about different kinds of rules and several other kinds of properties of the whole process is very much important so that overall goals of scoring well in the exams are perfectly achieved and there will be no chance of any kind of problematic scenario with the whole process.
One of the most crucial properties over here is the equality property of the exponential function and according to this particular property if two exponential functions are having the same bases then their exponent will also be the same and this particular theorem is perfectly valid in this particular area. Apart from this understanding, the comprehensive process of graphing the exponential function is very much important for the kids so that curve can be perfectly plotted by them and there will be no problem at any point in time throughout the process.
Apart from all the above-mentioned points being clear about the derivative of the exponential function and the integration of the exponential function is very much important so that everyone will be on the right track of dealing with things and there will be no chance of any kind of problem in the whole process. Hence, indulging in proper practice through the online math classes from the house of Cuemath is a very good idea to become successful in terms of scoring well in maths exams.