Find the Derivative - d/dx x^2+6

Problem

d()/d(x)*(x2+6)

Solution

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

d()/d(x)*(x2+6)=d(x2)/d(x)+d(6)/d(x)

2. Apply the power rule to the first term, where d(xn)/d(x)=n*x(n−1)

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

3. Apply the constant rule to the second term, which states that the derivative of any constant is zero.

d(6)/d(x)=0

4. Combine the results to find the final derivative.

2*x+0=2*x

Final Answer

d()/d(x)*(x2+6)=2*x

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