Find the derivative of f when
f(x) = 2 tan(x) + 3 cot(x)

- anonymous

Find the derivative of f when
f(x) = 2 tan(x) + 3 cot(x)

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- cwrw238

derivative of tan x is sec^x
can't remember derivative of cot x - try googling it
first term of derivative is 2 sec^2 x

- anonymous

of cotx? its -csc^2

- cwrw238

http://www.math.com/tables/derivatives/tableof.htm
this link lists derivatives

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## More answers

- anonymous

please help

- anonymous

sol: let y=f(x)
y=2tan(x)+3cot(x)
=2dy/dxtanx+3dy/dxcotx
=2*sec^2x+3*-cosec^2x
=2sec^2x-3cosec^2x

- cwrw238

oh ok
so f'(x) = 2 sec^2 x - 3 csc^2 x

- anonymous

think they want me to make in ration form its number 3 on the hw i have attached

##### 1 Attachment

- anonymous

is it answer??

- anonymous

thats not one of the answer choices

- anonymous

muhammand please help

- anonymous

estudier please help

- anonymous

are these questions???

- anonymous

yes the document i have attached is the homework i am looking at number 3 specifically

##### 1 Attachment

- cwrw238

ah what they have done is convert the sec and csc to sin and cos

- anonymous

okay...

- anonymous

so what is the answer

- cwrw238

2 sec^2 x - 3 csc^2 x
= 2 * 1/cos^2 x - 3 * 1 / sin^2 x

- cwrw238

|dw:1350060084696:dw|

- anonymous

that is not the answer

- anonymous

please help

- anonymous

i have to turn it on in ten minutes

- cwrw238

well i think it is the answer but its in different form to your choices - i'm trying to figure it out

- swissgirl

2sec^2(x)-3csc^2(x)?

- cwrw238

yes - do you agree with that answer?

- anonymous

the answer choices r on the document

- anonymous

swissgirl please help

- anonymous

have attached the hw

##### 1 Attachment

- anonymous

the answer choice are on the paper

- cwrw238

i know that sandy - but i can't figure out which is equivalent to the sec and csc expression

- swissgirl

hmm maybe you need to get a common deonmanator

- anonymous

:(

- anonymous

do anyone know the answer

- anonymous

raden please help

- anonymous

due in four minutes

- anonymous

please type faster

- anonymous

i dont need an explainatio just the answer

- anonymous

nvm the hw is past due now :(

- cwrw238

there might be a mistake in the paper
i'm sure 2sec^2x - 3 csc^2 x is correct
but u need to convert it

- anonymous

smh wow

- cwrw238

hold on - i think I've got it

- anonymous

its too late

- anonymous

thank u anyways

- swissgirl

ohhh I got the answer
\( \large {2-5\cos^2(x) \over \sin^2(x)\cos^2(x)} \)

- cwrw238

yes - i've converted the to sines and cosines but i can't get any of the choices on the paper
yes - i got that - but its not one of the choices

- swissgirl

its the fourth choice

- cwrw238

oh - i've been looking in the wrong place!!!!!

- swissgirl

hahah I know its quite confusing to follow

- cwrw238

lol

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