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Firstly, it is important to understand here that "expand" means multiply the two brackets. A logical approach can be taken to this question. Deal with the first term (x^2) of the first bracket: ...

To solve this question we can use implicit differentiation. We can write:d/dx(x+2y+3y^2)=d/dx(2x^2+1).When differentiating something in terms of y with respect to x we can use the chain rule, this allows ...

Since the equation has a cubic term, we can expect the curve to have certain properties: it should have three points where the graph touches the x-axis, two turning points, of which one should be a minimu...

Algebra can be tricky to get a hold of but once you've worked through a few questions, you'll quickly get the hang of it!The aim of this question is to find x, that means the solution will look like this:...

Solve D/dx (ln ( 1/cos(x) + tan (x) ) As always, we approach with a substitution method that we would normally use for differentiating ln (x). So, we try differentiate ln (t) with t= 1/cos(x) + tan(x)So w...