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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 .