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Find the Derivative - d/d@VAR f(x)=x^2+2x

Problem

d()/d(x)*(x2+2*x)

Solution

  1. Identify the function to be differentiated, which is a sum of two terms: x2 and 2*x

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

  3. Apply the power rule to the first term, x2 which gives 2*x

  4. Apply the constant multiple rule and the power rule to the second term, 2*x which gives 2

  5. Combine the results to find the final derivative.

Final Answer

(d(x2)+2*x)/d(x)=2*x+2


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