reverse chain rule question (1 Viewer)

[jonhysmitw2]

how do i solve this?

 

[clive guo]

chain that shit in to get d(5-3x^2) and then power rule

 

[asduiashdi]

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

 

[indeed]

 

[ZakaryJayNicholls]

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.