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

Problem

d(x+1)/d(x)

Solution

1. Identify the rule needed to differentiate the expression, which is the power rule combined with the chain rule.

2. Apply the power rule by bringing the exponent 2 to the front and decreasing the exponent by 1

3. Apply the chain rule by multiplying by the derivative of the inner function (x+1)

4. Calculate the derivative of the inner function, where d(x+1)/d(x)=1

5. Simplify the resulting expression.

Final Answer

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

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