Answer:
c
Step-by-step explanation:

Differentiate both sides wrt
:

By the chain rule, we get


Solve for
:


a. 14, 18, 22, 26.... It is +4
b. 2,430, 7,290, 21,870..... It is x3
c. So it is going -2, -4, -6, -8 so the next one would be -10 which is -13 then -12 which is -25 and so on.
Hope this helps!
Your answer would be 4 over x to the sixth which would look like this
4
_
x^6
the ^ symbol means it’s an exponent