Find the Derivative - d/dy ycos(x)

Problem

(d(y)*cos(x))/d(y)

Solution

1. Identify the variable of differentiation, which is y

2. Treat the term cos(x) as a constant because it does not contain the variable y

3. Apply the constant multiple rule for derivatives, which states that (d(c)*ƒ(y))/d(y)=cd(ƒ(y))/d(y)

4. Differentiate the variable y with respect to y which results in 1

5. Multiply the constant cos(x) by the result of the derivative.

Final Answer

(d(y)*cos(x))/d(y)=cos(x)

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