Find the Derivative - d/dx 6xy

Problem

d()/d(x)*6*x*y

Solution

1. Identify the variables and constants. Here, 6 is a constant, x is the independent variable, and y is assumed to be a function of x denoted as y(x)

2. Apply the product rule, which states that d()/d(x)*[ƒ(x)*g(x)]=ƒ(x)′*g(x)+ƒ(x)*g(x)′ Let ƒ(x)=6*x and g(x)=y

3. Differentiate the first part. The derivative of 6*x with respect to x is 6

4. Differentiate the second part. The derivative of y with respect to x is d(y)/d(x)

5. Combine the results using the product rule formula.

(d(6)*x*y)/d(x)=6*(y)+6*x(d(y)/d(x))

Final Answer

(d(6)*x*y)/d(x)=6*y+6*xd(y)/d(x)

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