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A) dy/dx = (-4xy-2) / (2x²+4+pisin(piy) B) (62+3*pi) / (22+pi)

y=x^2

if y = a*x^b

then dy/dx = ba*x^(b-1)

therefore

dy/dx = 2*x

• The behaviour of the solution depends on the value of the discriminant, D = b² – 4ac, (aptly named as it allows you to discriminate between solutions)

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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 ...