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(I assume I can use the whiteboard in an actual lesson/interview)

So this question might seem quite simple, and maybe it is, but this type of question can catch many students out. The first step is...

differentiating e^x gives e^x (need to know this), differentiating -5x gives -5 (step the power of the x down by 1 and multiply the original power with the coefficient, power of the x ...

First of all, you should find the angle between the vector and the normal of the plane using the rule cosX=a.b/modamodb. The normal can ...

In most core 1 papers this kind of question is usually asked. First of all an asymptote is a line that is close to an axis but never touches it. Now look at the graph as a normal reciprocal graph of y=1/x...

Using the product rule we know that dy/dx = uv' + vu' where u = 3x^3; v = e^x. e^x differentiates to itself multiplied by any number in front of the x. u' = 9x^2; v' = e^x. Therefore dy/dx = 3x^3e...