Find the Derivative - d/dx (4x-9)^2

Problem

d()/d(x)*(4*x−9)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

3. Multiply by the derivative of the inner function, which is (d(4)*x−9)/d(x)

4. Calculate the derivative of the inner part, where (d(4)*x−9)/d(x)=4

5. Simplify the expression by multiplying the constants 2 and 4

Final Answer

d()/d(x)*(4*x−9)2=8*(4*x−9)

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