Search over 10,000 free study notes

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 in...

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

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 break this series when ...

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 the ca...

dy/dx = dy/dt x dt/dx x = t 3 + t dx/dt = 3t 2 +1 y = t 2 +1 dy/dt = 2t dy/dx = 2t x (1 / (3t 2 +1) ) = 2t / (3t 2 + 1)