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

Problem

d()/d(x)*(x2+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)*(x2+2)=d(x2)/d(x)+d(2)/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 a constant is zero.

d(2)/d(x)=0

4. Combine the results to find the final derivative.

2*x+0=2*x

Final Answer

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

Want more problems? Check here!