Find the Derivative - d/dx f(x)=x^2+1

Problem

d()/d(x)*(x2+1)

Solution

1. Identify the function to be differentiated, which is ƒ(x)=x2+1

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

3. Differentiate the first term x2 using the power rule, d(xn)/d(x)=n*x(n−1)

4. Apply the power rule to get d(x2)/d(x)=2*x

5. Differentiate the constant term 1 The derivative of any constant is 0

6. Combine the results to find the final derivative.

Final Answer

(d(x2)+1)/d(x)=2*x

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