Dy/dx of 3sinx + 4 / 4sinx + 3
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Dy/dx of 3sinx + 4 / 4sinx + 3

[From: ] [author: ] [Date: 12-10-13] [Hit: ]
......
Hello

What is dy/dx of :

i) y = 3sinx + 4 / 4sinx + 3

also if you don't mind:

ii) y = √x (secx - tanx)


please, thank you

-
Would really help if you use parentheses...

y = (3sinx + 4) / (4sinx+3)

Quttient rule:
y' = [(4sinx + 3)(3cosx) - (3sinx + 4)(4cosx)] / (4sinx+3)^2

y' = [(12sinxcosx + 9cosx - 12sinxcosx - 16cosx)] / (4sinx+3)^2

y' = [-7cosx] / (4sinx+3)^2

That should be simplified enough.

2) product rule:
(√x)(secxtanx - sec^2x) + (1/2√x)(secx - tanx)

Dont really see any immediate simplifications
1
keywords: sinx,Dy,dx,of,Dy/dx of 3sinx + 4 / 4sinx + 3
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