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Suppose the relation is equal to y then

y=3x^1/2

dy/dx = 3*1/2*x^-1/2*1

dy/dx = 3/2*1/x^1/2*1

dy/dx = 3/2x^1/2

First we have retained the constant term i.e. 3 and then we have applied the power rule on x i.e. (nxn-1).

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