Find the Derivative - d/dx (2x+7)^2

Problem

d(2*x+7)/d(x)

Solution

1. Identify the rule needed to differentiate a composite function, which is the Chain Rule.

2. Apply the Power Rule to the outer function by bringing the exponent 2 to the front and decreasing the power by 1

3. Apply the Chain Rule by multiplying the result by the derivative of the inner function, 2*x+7

4. Differentiate the inner function, where d(2*x+7)/d(x)=2

5. Multiply the constants together to simplify the expression.

Final Answer

d(2*x+7)/d(x)=4*(2*x+7)

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