Question

find y' if y=tanx/1+cosx

Answer 1

use quotient rule
\[(\frac{f}{g})' = \frac{f'*g - f*g'}{g^{2}}\]

Answer 2

can u show me how to apply the quotient rule plz

Answer 3

ok let
\[f = \tan x\]
\[f' = \sec^{2} x\]
\[g = 1+\cos x\]
\[g' = -\sin x\]
plug it in
\[= \frac{\sec^{2} x (1+\cos x) - \tan x (-\sin x)}{(1+\cos x)^{2}}\]
simplify
\[=\frac{\sec^{2} x + \sec x + \tan x \sin x}{(1+\cos x)^{2}}\]

Answer 4

thank u

Answer 5

yw