Find the Derivative - d/dy 4y

Problem

d()/d(y)*4*y

Solution

1. Identify the variable of differentiation and the function. Here, we are differentiating the linear function 4*y with respect to y

2. Apply the constant multiple rule, which states that the derivative of a constant times a function is the constant times the derivative of the function.

(d(4)*y)/d(y)=4⋅d(y)/d(y)

3. Apply the power rule or the identity rule for derivatives, where the derivative of y with respect to y is 1

d(y)/d(y)=1

4. Multiply the constant by the result of the derivative.

4⋅1=4

Final Answer

(d(4)*y)/d(y)=4

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