Question

please help, step by step, and explain :)

y=(3x^(6)-4cot(x))^(9)

Answer 1

I know I use the chain rule because it's a function inside another function.

Answer 2

so it would be 9(3x^6-4cot(x))^8 times the derivative of each of the inside functions
the first one is 18x^5
the second one is....idk the derivative of cot...hold on

Answer 3

its -csc^2
so the entire thing would be 9(3x^6-4cot(x))^8 times 18x^5 times csc^2(x) (note that the derivative of cot is -csc^2 so the derivative of -cot is +csc^2

Answer 4

wouldnt it be 18x^5+4csc^2(x)

Answer 5

Chain Rule

Answer 6

oh yea, it would be

Answer 7

see, you understand it more than me ;)

Answer 8

hahaha! No, I'm finally understanding lol.. I just didnt know the derivative of cot

Answer 9

i didnt either...never use it
but i make mistakes too...good thing u caught that one

Answer 10

:) thank you though

Answer 11

welcome :)