Question

LGBADERIVATIVE:

\[\huge y = [x + (x + \sin ^2 x)^3]^4\]

Answer 1

any hints how to start?

Answer 2

maybe power rule on \((x+\sin^2 x)^3\) first...

Answer 3

\[3(x+\sin^2 x)^2 (1 + 2\sin x \cos x)\]

Answer 4

multiple chain rules

Answer 5

lol no what i did didnt sound right...i should start from outer

Answer 6

start with the outside...the power of 4

Answer 7

\[4[x + (x + \sin ^2 x)^3]^3 [1 + 3(x+\sin^2 x)^2 (1 + 2\sin x \cos x)]\]

Answer 8

is that right?

Answer 9

yes

Answer 10

ahh! finally