Find the Derivative - d/dx (4x-4)^2

Problem

d()/d(x)*(4*x−4)2

Solution

1. Identify the rule needed for the derivative, 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 2 to the front and decreasing the power by 1

2*(4*x−4)(2−1)

3. Multiply by the derivative of the inner function, which is 4*x−4

d(4*x−4)/d(x)=4

4. Combine the results of the outer and inner derivatives.

2*(4*x−4)1⋅4

5. Simplify the expression by multiplying the constants and distributing.

8*(4*x−4)

32*x−32

Final Answer

d(4*x−4)/d(x)=32*x−32

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