Implicit Differentiation

Category: Differential Calculus, Algebra

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Find y" by implicit differentiation for

Solution:

Consider the given equation above

Since the given equation above is not a function, then we have to differentiate it by implicit differentiation as follows

but

or

then the above equation becomes

Rationalize the denominator in order to eliminate the radical sign at the denominator, we have

Take the derivative with respect to x, we have

Rationalize the denominator in order to eliminate the radical sign at the denominator, we have

Therefore,