Question

find the 3rd order derivative of
y=(3x+5)^3

Answer 1

Use the chain rule.
y' = 3(3x+5)^2(3)
Bring down your exponent 3 then rewrite your equation but one power less (3x+5)^2 and then multiply by the derivate of the equation 3 and lastly simplify
y' = 9(3x+5)^2
Just do that two more times and you will have the 3rd derivative which is the 3rd order derivative.
Hope this helped.

Answer 2

JRae,is that 18(3x+5)

Answer 3

18(3x+5) is close but you forgot to multiply by the derivative of the equation so then it would actually be 54(3x+5). That would be your second derivative. Just do it one more time and then you have your answer.

Answer 4

This is the best I can do at explaining.