Find the Derivative - d/dx (x-2)^3

Problem

d(x−2)/d(x)

Solution

1. Identify the rule needed for the expression, which is the chain rule for a function of the form un

2. Apply the power rule to the outer function by bringing the exponent 3 to the front and decreasing the power by 1

3. Multiply by the derivative of the inner function, which is d(x−2)/d(x)

4. Calculate the derivative of the inner function, which is 1

5. Simplify the resulting expression.

Final Answer

d(x−2)/d(x)=3*(x−2)2

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