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First we need to be clear how to construct a proof by induction. It has two main parts, the base case and the inductive step. Let P(n) denote that the statement ...

the differential of cos(x) is -sin(x). the differential of cos(2x) is -2sin(2x). you can think of it as differentiating what is in the bracket and putting that in front of the -sin(2x). when differentiati...

To differentiate you must times by the power then take one away from the power. Therefore x^2 + 7x + 4 would differentiate to become 2x + 7. The generic rule for differentiation can be written as dy/dx (x...

First of all you need to multiply the first value of each bracket, for example; x X 2x= 2x² write this answer at the start of a new line Then multiply the first value of the first bracket by th...

First, identify the integer factors of the constant. In this case -5, has factors -1,5 and 1,-5. Now check to see if the sum of either pair is equal to the value of the coefficient of x. In this case, the...