To calculate: The derivative of the function by implicit differentiation.
The derivative of the function is .
The function .
Thechain rule for differentiation is if f is a function of gthen .
Power rule for differentiation is .
Product rule for differentiation is where f and g are functions of x .
Consider the function .
Differentiate both sides with respect to x ,
Recall that power rule for differentiation is and chain rule for differentiation is if f is a function of gthen .
Also for the second and third term of the above expression, apply the product rule for differentiation.
Recall that product rule for differentiation is where f and g are functions of x .
Apply it. Also observe that y is a function of x,
Isolate the value of on left hand side and simplify,
Thus, the derivative of the function is .
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