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

Problem

d()/d(x)*(x3+x2)

Solution

1. Identify the rule needed for the expression, which is the sum rule for derivatives.

2. Apply the sum rule by taking the derivative of each term individually.

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

3. Apply the power rule, which states that d(xn)/d(x)=n*x(n−1) to each term.

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

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

4. Combine the results to find the final derivative.

3*x2+2*x

Final Answer

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

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