jonhysmitw2
Active Member
- Joined
- Feb 23, 2022
- Messages
- 137
- Gender
- Male
- HSC
- 2023
how do i solve this?
-
Finished your HSC? Check out our University Discussion, Non-School forums or help out next year's HSC students! -
YOU can help the next generation of students in the community! Share your trial papers and notes on our Notes & Resources page
reverse chain rule question (1 Viewer)
- Thread starter jonhysmitw2
- Start date
how do i solve this?
clive guo
Active Member
chain that shit in to get d(5-3x^2) and then power rule
asduiashdi
Active Member
- Joined
- Apr 10, 2022
- Messages
- 129
- Gender
- Male
- HSC
- 2024
The derivative of the function inside of the brackets is -6x, and you have an extra x outside of the brackets. Therefore, you just need to multiply by -1/6 to cancel that out and then you can treat (5-3x^2)^5 as a power function. Note that you also need to multiply by 1/(n+1) where n is 5 in this case.
Final answer should be -1/36(5-3x^2)^6 + C
Final answer should be -1/36(5-3x^2)^6 + C
ZakaryJayNicholls
Active Member
- Joined
- Oct 19, 2022
- Messages
- 124
- Gender
- Male
- HSC
- 2010
- Uni Grad
- 2018
The Cambridge Pender EX1 Year 12 book has a good reference formula for this rule as well:
One of the main difficulties for this kind of question is often to identify that you are dealing with a reverse chain rule, which you can do by visual inspection.
One of the main difficulties for this kind of question is often to identify that you are dealing with a reverse chain rule, which you can do by visual inspection.