Find the Derivative - d/da (3a+1)^2

Problem

d()/d(a)*(3*a+1)2

Solution

1. Identify the rule needed for 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

2*(3*a+1)(2−1)

3. Multiply by the derivative of the inner function 3*a+1 with respect to a

d(3*a+1)/d(a)=3

4. Combine the results of the outer and inner derivatives.

2*(3*a+1)⋅3

5. Simplify the expression by multiplying the constants.

6*(3*a+1)

6. Distribute the constant to reach the final form.

18*a+6

Final Answer

d(3*a+1)/d(a)=18*a+6

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