Find the Derivative - d/dx 5x+2

Problem

d()/d(x)*(5*x+2)

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)*(5*x+2)=(d(5)*x)/d(x)+d(2)/d(x)

2. Apply the constant multiple rule to the first term, moving the constant 5 outside the derivative.

(d(5)*x)/d(x)=5d(x)/d(x)

3. Evaluate the derivative of x with respect to x which is 1

5*(1)=5

4. Apply the constant rule to the second term, noting that the derivative of any constant is 0

d(2)/d(x)=0

5. Combine the results to find the final derivative.

5+0=5

Final Answer

d()/d(x)*(5*x+2)=5

Want more problems? Check here!