Differentiate(dx) xy+4y-13
As this is not in the common form and is HomogeneousStudents should be confident to understand what differentiation does.Using the quotient rule as well as implicit differentiation we look at each part of the equation bit by bit.The differentiation of xy:This is a mixture of the chain rule and implicit differentiation.chain rule states : D/dx of ab is a(b(dx)) + b(a(dx))Therefore the differentiation of this is(x)(dy.dx)+y differentiation of 4y-13 :(4)dy/dx this is finished by adding both together finishing the question with the solution:(x)(dy.dx)+y+(4)dy/dx
NM
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