Answer to Question #344549 in Calculus for kristine

Question #344549

Differentiate the trigonometric functions


1. = 2 sec x + tan x



2. y = sin x/ 1 + COS X



3. y = cos x cot x

1
Expert's answer
2022-05-25T09:34:21-0400

1.


"y'=(\\sec x+\\tan x)'=-\\dfrac{1}{\\cos^2 x}(-\\sin x)+\\dfrac{1}{\\cos ^2 x}"

"=\\dfrac{\\sin x+1}{\\cos ^2 x}=(\\sin x+1)\\sec ^2 x"

2.


"y'=(\\dfrac{\\sin x}{1+\\cos x})'=\\dfrac{\\cos x(1+\\cos x)+\\sin ^2x}{(1+\\cos x)^2}"

"=\\dfrac{1+\\cos x}{(1+\\cos x)^2}=\\dfrac{1}{1+\\cos x}"

3.


"y'=(\\cos x\\cot x)'=-\\sin x\\cot x-\\dfrac{\\cos x}{\\sin^2 x}"

"=-\\cos x-\\cot x\\csc x"


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS