(x+3(x+1))′
−2(x+1)2
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