Use implicit differentiation to find ∂z/∂x and ∂z/∂y. x - z = 2 arctan(yz)
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Step 1
The derivative of x with respect to x is 1. The derivative of z with respect to x is ∂z/∂x. The derivative of 2 arctan(yz) with respect to x is 2 * (1/(1+(yz)^2)) * (y*∂z/∂x + z*∂y/∂x). So, we have 1 - ∂z/∂x = 2 * (1/(1+(yz)^2)) * (y*∂z/∂x + z*∂y/∂x). Show more…
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