Derivative of Sin y with respect to x:

The derivative of a function represents the rate of change of that function with respect to its independent variable. In this case, we are asked to find the derivative of Sin y with respect to x.

To find this derivative, we can use the chain rule, which states that if y = f(u) and u = g(x), then dy/dx = dy/du * du/dx.

In the given function Sin y, y is considered as an independent variable and x is the dependent variable. Therefore, we need to express y in terms of x in order to find its derivative with respect to x.

Expressing y in terms of x:
To express y in terms of x, we need additional information or an equation relating y and x. Without any information given, we cannot determine the relationship between y and x. Therefore, we cannot find the derivative of Sin y with respect to x.

Answer: d. None of the above.

Explanation:
1. Derivative of Sin y is not zero (a) because the derivative of Sin y with respect to y is Cos y, and the derivative with respect to x involves the chain rule.
2. Derivative of Sin y is not Cos y (b) because the derivative depends on the relationship between y and x, which is not given.
3. Derivative of Sin y is not infinity (c) because it depends on the relationship between y and x, which is not given.

Without any information or equation relating y and x, we cannot determine the derivative of Sin y with respect to x.