Question

f(x)=1/(x+2)
what is f'' (x) Second derivative ?

Answer 1

\[f'(x)=-\frac{1}{(x+2)^2}\]

Answer 2

f(x)=(x+2)^-1
f'(x)=-(x+2)^-2
f''(x)=2(x+2)^-3

Answer 3

@nbouscal yes

Answer 4

You just apply the power rule here

Answer 5

and chin rule

Answer 6

Technically apply chain rule also, but since the derivative of x+2=dx, you can basically ignore it.

Answer 7

the third derivative would be -3 (x+2)^-4 ?

Answer 8

Not quite. You multiply, so it would be -3*2 (x+2)^-4, or -6(x+2)^-4