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A simple way to differentiate an equation with respect to x is to reduce each x components power by one and multiply each x component by their original power.

Looking at the equation y = ...

First of all we need to rearrange the equations in a way which allows us to get rid of either the x or y variable.

To do this we need to have either the same number of x's or same number ...

A good approach to solve this is to use the chain rule of differentiation. The chain rule states: dy/dx= (dy/du)*(du/dx).

In this case let u = 1+3x, so y = u^2.

Then dy/du =...

AFTER 1 YEAR: interest = £730 x 0.025 = £18.25

Rotal money in my account = £730 + £18.25 = £748.25.

AFTER 2 YEARS: intere...

First thing we have to do is to eliminate one of the variables, either x or y (it doesn’t matter which one). In order to achieve that, we aim to have the same co-efficient (number in front of x or y) o...