Find the Derivative - d/dy y/x

Problem

d()/d(y)y/x

Solution

1. Identify the variable of differentiation, which is y

2. Treat the variable x as a constant, since the derivative is being taken with respect to y

3. Rewrite the expression to separate the constant factor from the variable.

y/x=1/x⋅y

4. Apply the constant multiple rule for derivatives, which states that d()/d(y)*[c⋅ƒ(y)]=c⋅d(ƒ(y))/d(y)

d()/d(y)1/x⋅y=1/x⋅d(y)/d(y)

5. Simplify the derivative of y with respect to y which is 1

1/x⋅1=1/x

Final Answer

d()/d(y)y/x=1/x

Want more problems? Check here!