Find the Derivative - d/dx x^3+2x

Problem

d()/d(x)*(x3+2*x)

Solution

1. Identify the expression as a sum of two terms, x3 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, x3 where d(xn)/d(x)=n*x(n−1)

d(x3)/d(x)=3*x2

4. Apply the power rule to the second term, 2*x noting that the derivative of x is 1

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

5. Combine the results to find the final derivative.

Final Answer

d()/d(x)*(x3+2*x)=3*x2+2

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