This was posted as part of Dividing Polynomial with Polynomial. Here I post again just for one of the needs of an application in Calculus.
For finding the derivative of a function, normally, we apply the relevant rules. Where those rules come from? That means how to use the definition of Derivative to find the derivative. The following links will show you the details. First link is a notes which includes three examples. Second link is a worksheet that give you chance to practice, and third link is the solution of that worksheet. If you have any question do not feel hesitate to ask.
When doing integration of rational fraction if the numerator is a higher degree than the denominator, we must simplify them using long division polynomials before applying Integration by partial fraction method. The following PDF shows the details.
Hopeful it helps for final review.
This solution is for a word problem in Technical Mathematics Review (2). The word problem
states as follows:
The sum of the digits in a three- digit number is 12. The sum of the first and third digits is
one third of the middle digit. If the hundreds and ones digits are interchanged, the value of
the number is reduced by 99. Find the number.
Click the following link for detail solution
You are welcome to send word problem questions, I am always ready to help you.