We described implicit differentiation using a function of two variables. This approach applies to functions of...

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We described implicit differentiation using a function of two variables. This approach applies to functions of three or more variables. For example, let's take F(x, y, z) = 0 and assume that in the part of the function's domain we are interested in, OF = F#0. Then for y = y(x, z) defined implicitly via F(x, y, z) = 0, dy(x, 2) = x₂(x, z) == F dy F' dx Now, assuming that all the necessary partial derivatives are not zeros, find xyz Zx- We described implicit differentiation using a function of two variables. This approach applies to functions of three or more variables. For example, let's take F(x, y, z) = 0 and assume that in the part of the function's domain we are interested in, OF = F#0. Then for y = y(x, z) defined implicitly via F(x, y, z) = 0, dy(x, 2) = x₂(x, z) == F dy F' dx Now, assuming that all the necessary partial derivatives are not zeros, find xyz Zx-

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