Find the Derivative - d/d@VAR F(x)=(4x+1)^2

Problem

d()/d(x)*(4*x+1)2

Solution

1. Identify the rule needed to differentiate a composite function of the form un 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. Multiply 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 2 and 4

Final Answer

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

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