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The question is pretty straightforward and asks you to find the derivative of y, which is a function of x. The most simple way to do this is to first eliminate the brackets and then derive. Thus we get y=x^3...

The turning point of a curve is the point at which it will turn, therefore, either the maximum or minimum point. Firstly, you need to expand out the brackets so the equation looks like a standard curve equat...

First of all, we need to express tangent and cotangent in terms of sine and cosine using the identities: tanx = sinx / cosx and cotx = cosx / sinx. Substituting these expressions into the initial equation we...

If I gave you an infinitely tall ladder and asked you to prove to me that there are no rungs missing from the ladder, you wouldn't start to check the ladder rung by rung to see if they are all there, you'd n...

One good way is to use the formula y - y 1 = m(x - x 1 )where (x 1 ,y 1 ) is a point on the line and m is the gradient of the line. This is derived from the definition of the gradient m=(y 2 -y 1 )/(x 2 -x 1...