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

Problem

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

Solution

1. Identify the rule needed for the derivative, which is the Power Rule combined with the Chain Rule.

2. Apply the Power Rule by bringing the exponent 1/2 to the front and subtracting 1 from the exponent.

3. Apply the Chain Rule by multiplying by the derivative of the inner function x+2

4. Calculate the derivative of the inner function, which is d(x+2)/d(x)=1

5. Simplify the expression by combining the terms and rewriting the negative exponent if necessary.

Final Answer

d(x+2)/d(x)=1/(2√(,x+2))

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