Question

How do i take the derivative of this?

Answer 1

\[f(x)=t+ \frac{ 9 }{ t+1 }+1\]

Answer 2

I got (t-8)/(t+1) which is wrong :/

Answer 3

Okay well lets break it up into three.

Lets start with the easier ones.
What is the derivative of t?
and
What is the derivative of 1?

Answer 4

1 and 0

Answer 5

Okay good job. So so far we have that
\[f'(x) = 1+\left[ \frac{ ? }{ ? } \right] + 0 \]

Answer 6

Now to take the derivative of\[\frac{ 9 }{ t+1 }\]

We have to use to Quotient Rule. Do you know what that is?

Answer 7

yup and for the 9/t+1 i got
\[\frac{ -9t-9 }{ (t+1)^2 }\]

Answer 8

OH WAIT I FIGURED IT OUT

Answer 9

i forgot to take the deriv of the bottom lol silly me :')

Answer 10

Haha. Okay then. :)

Answer 11

so its just 9/(t+1)^2 for tht. Lol thank you!