In Exercises 63-70, use the calculation thought experiment to say whether the expressing is written as a sum, difference, scalar multiple, product, or quotient. Then use the appropriate rules to find its derivative [HINT: See Quick Example 3-7 and Example 3.]
(Do not simplify the answer.)
To calculate: The derivative of the function and also explain the expression is either of them: Sum, Difference, Scalar multiple, product or quotient by use of the calculation through experiment.
The provided function is .
Quotient rule of derivative of differentiable functions, and is,
Product rule of derivative of differentiable functions, and is
A derivative of a constant is .
A derivative of a function using power rule is .
Sum and Difference rule of the derivative is where are any two differentiable functions.
Consider the function ,
According to calculation through experiment, the expression of y is a quotient expression.
So, apply the quotient rule.
Apply product rule and sum rule,
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