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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
26 Oct 2021

Given information

Note that the given derivative of the function by explicit differentiation is and by implicit differentiation is .

Step-by-step explanation

Step 1.

Take the derivative of the function that is by explicit differentiation it is  and by implicit differentiation it is .

Now, to verify that the derivative obtained implicitly and explicitly is the same substitute the value of from the function in the value of derivative found by implicit differentiation.

Take the function .

Now, isolate the value of on the left-hand side of the above equation.

Subtract on both sides of the equation .

 

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