Find the derivative of this trig function
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Find the derivative of this trig function

[From: ] [author: ] [Date: 12-02-29] [Hit: ]
. 1 – sinx ...........
3(1-sinx) / (2cosx)

I was using difference q and my set-up looks like this: 3(cosx)(2cosx)-3(1-sinx)(-2sinx)/(2cosx)…
What is wrong with it? Thanks in advance.

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I think you hve siGn problem. d/dx(1–sin x) = – cos x

It may be wise to factor the constants off to the left prior to differentiating using the quotient rule.

Or, convert to other functions before differentiating, like so:

3... 1 – sinx .......3....... 1......... sin x
-- • ------------ = --- • (--------- – --------- ) =
2...... cos x.........2..... cos x .... cos x

(3/2)[ sec x – tan x). Now differentiate!

Diferentiating we get (3/2)[sec x tan x – sec² x] =

(3/2) sec x ( tan x – sec x )
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