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GATE EC 2018 Set 1 — Question 62

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NAT+2 / -0MediumPartial & Total DerivativesCalculusEngineering Mathematics

Engineering Mathematics → Calculus → Partial & Total Derivatives

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Question

Let r=x2+y−zr = x^2 + y - z and z3−xy+yz+y3=1z^3 - xy + yz + y^3 = 1. Assume that xx and yy are independent variables. At (x,y,z)=(2,−1,1)(x, y, z) = (2, -1, 1), the value (correct to two decimal places) of ∂r∂x\frac{\partial r}{\partial x} is _________ .
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