Question

derivation of xsinx/(1+tanx)?please!

Answer 1

deriving is easy, its integrating that that you dont want to meet with in a dark classroom

Answer 2

use quotient rule
\[\frac{(1+tan(x))\ (x\ sin(x))'-(1+tan(x))'\ (x\ sin(x))}{(1+tan(x))^2}\]

Answer 3

i need the step!please

Answer 4

and product rule .... since the top needs a deriving of a product..
\[\frac{(1+tan(x))\ (sin(x)+x\ sin(x)')-(sec^2(x))\ (x\ sin(x))}{(1+tan(x))^2}\]
\[\frac{(1+tan(x))\ (sin(x)+x\ cos(x))-(sec^2(x))\ (x\ sin(x))}{(1+tan(x))^2}\]

Answer 5

those are the steps

Answer 6

id leave it at that, since trying to go any further would just be a waste of time and effort :)

Answer 7

to clear the cobwebs, lets strip it down:

\[[\frac{ab}{c}]'=\frac{c(ab')-(ab)c'}{c^2}=\frac{c(a'b+ab')-(ab)c'}{c^2}\]