Question

Differentiate.
f(θ) = sec θ/3 + sec θ

Answer 1

\[f(t) = \frac{ \sec(t) }{ 3 } + \sec(t)\]

Answer 2

this is the question ?

Answer 3

or it's 3+sec(t) in the denominator ?

Answer 4

yeaaa

Answer 5

in the denominator

Answer 6

\[f(t)=\frac{ \sec(t) }{ 3 + \sec(t) }\]

Answer 7

like this ?

Answer 8

yes

Answer 9

In this case, use quotient rule.

Answer 10

grr mistake :| all over again

Answer 11

\[f'(t) = \frac{ \sec(t)' * (3+\sec(t)) - (3+\sec(t))' * \sec(t) }{ (3+\sec(t))^2 }\]

Answer 12

\[f'(t) = \frac{ \tan(t)\sec(t) * (3+\sec(t)) - \tan(t)\sec(t) * \sec(t) }{ (3+\sec(t))^2 }\]

Answer 13

\[f'(t) = \frac{ 3\tan(t)\sec(t) }{ (3+\sec(t))^2 }\]

Answer 14

nothing much more to do ..

Answer 15

so you expand and simplify?

Answer 16

the final answer ? you can expand the (3+sec(t))^2 but it's not really important ..

Answer 17

i used the quotient rule in order to find the derivative as you can see the procedure

Answer 18

okaay thank you :)

Answer 19

yw

Answer 20

i got the aanswer wrong

Answer 21

i'm doing this online quiz and wen i put in the answer it was wrong