Find the Derivative - d/dx (4x+1)^2

Problem

d(4*x+1)/d(x)

Solution

1. Identify the rule needed to differentiate 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

3. Apply the chain rule by multiplying the result by the derivative of the inner function, which is d(4*x+1)/d(x)

4. Calculate the derivative of the inner function, which is 4

5. Simplify the expression by multiplying the constants together.

Final Answer

d(4*x+1)/d(x)=8*(4*x+1)

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