How Do You Calculate the Third Derivative of \( y = \frac{1}{x+1} \)?

[mo7tn]

Homework Statement

d3y/dx3 OF Y= 1/X+1

Homework Equations

Y= 1/X+1

The Attempt at a Solution

i TRIED USING THE QUOTIENT RULE BUT BECAME STUCK AFTER DOING- (X+1)D/DX(1) + (1)D/DX(X+1)= (X+1)(1)+(1)(1)=1+1+1= 3 BUT HOW DO GET TO THE THRID DEGREE IM LOST

 

[rock.freak667]

$$y=\frac{1}{x+1}$$

$$\frac{dy}{dx}=\frac{1(x+1)-1(1)}{(x+1)^2}$$

$$\frac{dy}{dx}==\frac{x}{(x+1)^2}$$
then just differentiate that twice again and you'll get $\frac{d^3y}{dx^3}$