Search over 10,000 free study notes

In order to differentiate using the chain rule,you first need to know the chain rule. Chain rule : dy/dt * dt/dx = dy/dx.

It is basic multiplication to get rid of the common factor of 'dt' in both ...

Firstly, as with any question, make sure to check your formula book in order to find any relevant equations. In this case, the one most relevant to us is U_n = U₁ + d(n-1).
From...

To find the derivative of this, we must differentiate each term with respect to x. This implies d/dx(y^3+2xy+x^2-5=0). We can differentiate each term seperately so d/dx(y^3+2xy+x^2-5=0) is equal to d/dx(y...

new amount = old amount * (1 + interest)^(number of times interest has occured)

new amount = 1.50 * (1 + 0.03)^5 = £1.74 (rounded to 2 decimal places)

To differentiate you bring the power down and multiply it by any coefficients (numbers in front of the xs) then subtract one from the power 

So x³ becomes 3x² 

2x^2...