Question

How do you compute this derivative? h(t)=17csc(t)+tcot(t)?

Answer 1

do you recall your trig derivs?

Answer 2

other than that, the last term is a product rule

Answer 3

Oh okay, I tried just plugging in. I forgot about the product rule!

Answer 4

D[17csc(t)+tcot(t)]

D[17csc(t)] + D[t cot(t)]

17 D[csc(t)] + D[t] cot(t) + t D[cot(t)]

Answer 5

D[t] = 1, soo thats the easy part :)

Answer 6

okay so would the derivative be 17(-csc(t)cot(t))+(-csc^2(t))+(cot(t))

Answer 7

in a rough sort of way, yes

Answer 8

okay thank you haha

Answer 9

:) yw