Find the Derivative - d/dx (3x+4)^2

Problem

d(3*x+4)/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, which is d(3*x+4)/d(x)

4. Differentiate the inner function 3*x+4 to get 3

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

Final Answer

d(3*x+4)/d(x)=6*(3*x+4)

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