Question

solve for the higher order derivative.
3
find "y" if y = __________
(x +1)^4
please help me to solve this question.

Answer 1

write it as
\[3(x+1)^{-4}\] and use the all mighty power rule

Answer 2

got that?
should take one step only

Answer 3

@satellite73 how?

Answer 4

\[\frac{d}{dx}x^n=nx^{n-1}\] in your case \(n=-4\)

Answer 5

I'm not sure whether user is acquainted with the formulas for finding derivatives and all. In the previous question, asked by the same user, I found the asker not getting the formulas and all. Sam, before Satellite goes on, I just want to tell us about what you've read till now.
Thanks!

Answer 6

@SamMarie14 do you know the power rule?

Answer 7

ower Rule xn nxn−1

Answer 8

ok good
use it in this case where you have \(3(x+1)^{-4}\)

Answer 9

@satellite73 how sir?

Answer 10

drop the \(-4\) out front as a multiplier, then subtract one from it

Answer 11

\[\huge 3(x+1)^{\color{red}{-4}}\]
\[\huge \color{red}{-4}\times 3(x+1)^{\color{red}{-4}-1}\]

Answer 12

-12(x + 1)^-3 @satellite73

Answer 13

lol no

Answer 14

what is
\[\huge -4-1\]?

Answer 15

5?

Answer 16

are you taking a calculus class ?

Answer 17

i forgot the sign -5

Answer 18

whew

Answer 19

now that you have
\[y'=-12(x+1)^{-5}\] if you want
\[y''\] you have to do it again

Answer 20

when you say "y" this each time you do mean just y" right
y" means second derivative

Answer 21

@satellite73

Answer 22

yes?

Answer 23

can you help me again sir @freckles ?

Answer 24

@satellite73 how can i get that y?

Answer 25

same thing again
repeat the process as before

Answer 26

Use the power rule again.

Answer 27

-5 x -12 (x+1)^-5 -1? @satellite73

Answer 28

yes

Answer 29

-60(x+1)^-6

Answer 30

watch your signs

Answer 31

ogh sorry

Answer 32

And so \(y'' = 60(x+1)^{-6} = \dfrac{60}{(x+1)^6} \)

Answer 33

@satellite73 60(x+1)^-6 then?

Answer 34

yes

Answer 35

@Jhannybean thats it?

Answer 36

yes

Answer 37

Yawp.

Answer 38

@Jhannybean thats the final?