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This is a question that can be answered in two ways: using the product rule and the rule for differentiating powers, we will do both to see how the two rules are equivalent. chain rule: split the function...

Completing the square is often useful when solving equations! An example: x² +6x-7=0. Step 1) We want to move the constant to the right hand side: x²+6x=7. Step 2) Now, add the squar...

The geometric series takes the form of ax^n where n is a number from 0 to infinity with 0 being the first number in the series. 

The sum of this series is S = a + ax + ax^2 + ... 

If we brea...

With integration like this, you can look at each appearance of x individually.  Firstly there is a rule to follow that is the power of X in each case increases by 1 and then that increase power divides th...