[Calc 1] An explanation on how to best solve this. I've been stuck trying to use chain rule
1 answer:
Answer:
G'(y) = 4y^7(y+4)/(y+2)^5
Step-by-step explanation:
Work it a piece at a time.
Define z = y^2/(y+2). Then your derivative is found from the power rule as ...
G = z^4
G' = 4z^3·z'
Now, define z = u/v. Then your derivative is found using the quotient rule:
z' = (vu' -uv')/v^2 = ((y+2)(2y) -(y^2)(1))/(y+2)^2
Putting this together we have ...
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