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Simultaneous equation questions look very intimidating because not only are there 2 equations to solve but there is 2 variables in each! To start with, we're going to make the equations look less confusin...

(x+4)(x+1)=0

x=-1   x=-4

Stationary points occur when the gradient of the function is zero. They can be visualised on a graph as hills (maximum points), as troughs (minimum points), or as points of inflection. (I would draw all t...

This a relatively simple question which requires the use of the chain rule to solve. First we set u = sin(x)  so we then have y = u² . Next we perform do differentiations, one on u as a functio...

To solve this problem, you need to: rearrange the first equation (1) to express y in terms of x to obtain equation (3). Then, substitute this new equation into the quadratic one (the second equation from ...