Find the Derivative - d/dx (3x+7)^2

Problem

d()/d(x)*(3*x+7)2

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, d(3*x+7)/d(x)

4. Differentiate the inner function, where d(3*x+7)/d(x)=3

5. Simplify the expression by multiplying the constants 2 and 3

Final Answer

d(3*x+7)/d(x)=6*(3*x+7)

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