How do you find the second derivative of #y=-5/(x+1)#?

Answer 1

10 ( x + 1 )^-3

Take the derivative 2 times. Convert - 5 / (x+1) to -5 (x+1)^-1 Now use the power rule... 2 times No chain rule necessary.

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Answer 2

Luke Alvarez

To find the second derivative of ( y = -\frac{5}{x+1} ), follow these steps:

Find the first derivative ( y' ) using the power rule and chain rule. [ y' = -5 \cdot (x+1)^{-2} ]
Find the second derivative ( y'' ) by differentiating ( y' ) with respect to ( x ). [ y'' = 10 \cdot (x+1)^{-3} ]

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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