Find the Derivative - d/dx (4x-6)^2

Problem

d(4*x−6)/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 2 to the front and decreasing the power by 1

2*(4*x−6)(2−1)

3. Multiply by the derivative of the inner function, which is 4*x−6

d(4*x−6)/d(x)=4

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

2*(4*x−6)⋅4

5. Simplify the expression by multiplying the constants.

8*(4*x−6)

6. Distribute the constant 8 into the binomial.

32*x−48

Final Answer

d(4*x−6)/d(x)=32*x−48

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