reverse chain rule question (1 Viewer)

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
 

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:
revchainrule.png
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.
 

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top