hey guys, i have a derivative question, what is the simplest way to solve this problem without making a mess. I will attach question onto post. Thanks!

Question

anonymous · Answer

attachment

anonymous · Answer

first expand it

then take the derivative using what i think is called the power rule

anonymous · Answer

expand as in apply "FOIL"

anonymous · Answer

okay i did that, should i attempt to solve the derivative now or fully simplify it ? (like get the same denominator) thats the way i did, and i had a huge mess and didn't answer it successfully

anonymous · Answer

$$f(x) = x^n$$
$$f'(x) = nx^{n-1}$$

anonymous · Answer

dont try to simplify it

leave it as 4 separate terms and just take the derivative of each term separately

jdoe0001 · Answer

hmmm bear in mind that -> $\bf \cfrac{1}{y^2} \implies y^{-2}\
\cfrac{3}{y^4} \implies 3y^{-4}$

anonymous · Answer

ohhhh

anonymous · Answer

wait do you think it's simplier to apply power rule AFTER or before foil

jdoe0001 · Answer

from there you can expand and do as completeidiot  said, or use the product rule

anonymous · Answer

okay thanks guys i tried to completely break down the problem . . . . it turned into a huge mess