Problem

(x+3(x+1))

Answer

Expert–verified
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Answer

2(x+1)2

Steps

Step 1 :Given function: x+3x+1

Step 2 :Find the derivative using the quotient rule: f(x)g(x)f(x)g(x)(g(x))2

Step 3 :Compute the derivatives: f(x)=1 and g(x)=1

Step 4 :Apply the quotient rule: 1(x+1)(x+3)(1)(x+1)2

Step 5 :Simplify the expression: 2(x+1)2

Step 6 :2(x+1)2

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