Find the Derivative - d/dx 2x+2y

Problem

d()/d(x)*(2*x+2*y)

Solution

1. Apply the sum rule for differentiation, which allows the derivative to be taken for each term individually.

d()/d(x)*(2*x+2*y)=(d(2)*x)/d(x)+(d(2)*y)/d(x)

2. Differentiate the first term with respect to x using the power rule.

(d(2)*x)/d(x)=2

3. Differentiate the second term with respect to x using the chain rule, assuming y is a function of x

(d(2)*y)/d(x)=2d(y)/d(x)

4. Combine the results to find the total derivative of the expression.

2+2d(y)/d(x)

Final Answer

d()/d(x)*(2*x+2*y)=2+2d(y)/d(x)

Want more problems? Check here!