Find the Derivative - d/dx (7x+1)^2

Problem

d()/d(x)*(7*x+1)2

Solution

1. Identify the rule needed to differentiate a composite function, which is the Power Rule combined with the Chain Rule.

2. Apply the Power Rule by bringing the exponent 2 to the front and decreasing the power by 1

2*(7*x+1)(2−1)

3. Apply the Chain Rule by multiplying the result by the derivative of the inner function 7*x+1

2*(7*x+1)⋅d(7*x+1)/d(x)

4. Differentiate the inner expression 7*x+1 which results in 7

2*(7*x+1)⋅7

5. Simplify the expression by multiplying the constants 2 and 7

14*(7*x+1)

6. Distribute the constant 14 into the binomial.

98*x+14

Final Answer

d(7*x+1)/d(x)=98*x+14

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