Question

what is the derivative of arctan(x/3)

Answer 1

do you use 1 / 1 + x^2

Answer 2

Yes.

Answer 3

Just like x/2

Answer 4

the der. of arctan x = 1/ (1+ x^2)

Answer 5

Using the chain rule, the der. of arctan x/2 is (1/2) * (1 / 1+ (x/2)^2)

Answer 6

where did the (1/2) come from? the exp.-1

Answer 7

find the derivative of:
1. y = sec^-1(t+1)
2. y = e^(cos^-1)
3. y = csc^-1(x^-1)

Answer 8

for #1, do you use sec^-1x= 1 / I x I sq root x^2 -1 ( absolute value : I x I )