Search over 10,000 free study notes

Considering that x(x+4) = x^2+4x, and having that the derivative of the sum is the sum of the derivatives.

dx/dy x^2 = 2x and dx/dy 4x = 4 , then dx/dy x(x+4) = 2x+4

Method 1 (Elimination) -

You can see that If you add the 2 equations together you can eliminate the y variable like so 6x=12, then if you divide both sides by 6 you get x=2. Then if you place x=2 b...

2.925 minutes This question involves solving a first order differential equation via the separation of variables and then substituting in initial conditions in order to find a particular ...

1/5 of the days.

To find the minimum point of this curve you need to differentiate y and set it equal to zero before solving for x. If the questions does not say otherwise give your answer to 3 s.f. dy/dx = 3e^3x -12e^2x ...