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Saturday, February 8, 2014

Implicit Differentiation, 3

Category: Differential Calculus, Algebra

"Published in Vacaville, California, USA"

Find dy/dx by implicit differentiation for


Solution:

Consider the given equation above


Since the given equation is not a function, then we have to take the derivative of an equation with respect to y as follows




Therefore, by taking reciprocal on both sides of the equation,



We can also take the derivative of an equation by implicit differentiation as follows





Therefore,


which is the same as the first method.