Find the Derivative - d/dx (x-1)^3

Problem

d(x−1)/d(x)

Solution

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

2. Apply the power rule by bringing the exponent 3 to the front and decreasing the power 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 by multiplying the terms.

Final Answer

d(x−1)/d(x)=3*(x−1)2

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