Answer:
180x²(3x⁴+2)⁴+240x³(3x⁴+2)³
Step-by-step explanation:
we need to break this up using the chain rule
(3x⁴+2)=u
so we have
So now we take 3x⁴+2 and take the derivative (which I will assume you know how to do, if not lmk)
which is 12x³
we now need to take the derivative of u⁵=5u⁴
Mulitply these together
60x³u⁴=60x³(3x⁴+2)⁴
do the same thing again
60x³u⁴
we now need to do the mulitplication rleu
(60x³)'(u⁴)+(60x³)(u⁴)'
=
180x²u⁴+60x³*4u³
simplify
180x²(3x⁴+2)⁴+240x³(3x⁴+2)³
while you could do more to simplify it, it would get really messy
