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