Question

find the derivative of y=(1+cosx)/(1-cosx)

Find the derivative of y=4sinx-5cosx+x

Answer 1

The second function's derivative is pretty straightforward, so I'll leave it to you.

For the first, use the quotient rule:
\[y'=\frac{(1-\cos x)(-\sin x)-(1+\cos x)(\sin x)}{(1-\cos x)^2}\]
Simplify.

Answer 2

for the first one I simplified and got y'=-2sinx/1-cos^2x I just want to check to see if i did it right

Answer 3

The numerator is correct, but the denominator is not.
\[(1-\cos x)^2\not=1-\cos^2x\]

Answer 4

thanks I figured it out!

Answer 5

yw