Search over 10,000 free study notes

This is an example of a rational function. So to sketch it, we need to know three things: 1) where it crosses the x and y axis 2) Where its turning points are, if it has any 3) Where its asymptotes are, if i...

Solving simultaneous equations: Example Question: Equation 1 ---> 2y – 4x = 2Equation 2 ---> 4y – 6x = 10 Find the unknown quantities, x and y. Solution: Step 1: Firstly check whether there are more th...

Firstly, you can only complete the square on quadratic functions (functions in the form Ax 2 +Bx+C) If A=1, C onsider B, the coefficient of x. Substitute it into ( x + (B/2) ) 2 . We know if we multiply this...

Compound interest means, for example, the money you have put into a bank, earns interest each year, but you earn interest upon the interest that was already added last year i.e. you earn interest on the new ...

Q: If y = 2^x, find dy/dx. ANSWER: 1) Take Logs of both sides of our equation y = 2^x So we get: log(y)=log(2^x) 2) Apply relevant log rule to rhs: Log rule: log(a^b) = b . log(a) [nb: the dot between b and ...