I don't think you copied it correctly, but I'll assume that you did.
y = 4x³ - 2x² + 5('x' to the -3.7 power) - 6
"y-prime" (the first derivative) = 12x² - 4x - 18.5('x' to the -4.7 power)
Answer:

Step-by-step explanation:
Given

Required
The sample mean
This is calculated using:

So, we have:



Each number is the square of 2*the number, in other words
(1+1)²=4
(2+2)²=16
(3+3)²=36
(4+4)²=64
etc...