Find the Derivative - d/dx 2x+4

Problem

d()/d(x)*(2*x+4)

Solution

1. Apply the sum rule for derivatives, which states that the derivative of a sum is the sum of the derivatives.

d()/d(x)*(2*x+4)=(d(2)*x)/d(x)+d(4)/d(x)

2. Apply the constant multiple rule to the first term, moving the constant 2 outside the derivative.

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

3. Differentiate the variable x with respect to x which equals 1

2*(1)=2

4. Differentiate the constant 4 The derivative of any constant is 0

d(4)/d(x)=0

5. Combine the results to find the final derivative.

2+0=2

Final Answer

d()/d(x)*(2*x+4)=2

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