hw3-5 - dy/dx when y = sin x or y = cos x . Use your new...

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Homework 3/5 Part I. Recall the following facts: lim h 0 sin h h = 1 and lim h 0 cos h - 1 h = 0 Use them to solve the following problems (some of which you might have completed or observed in class today.) 1. If g ( x ) = cos x , use a limit of secant slopes to compute g ( π/ 6). (Answer: - sin( π/ 6)) 2. If f ( x ) = sin x , use a limit of secant slopes to compute f ( π/ 4). (Answer: cos( π/ 4)) 3. If g ( x ) = cos x , use a limit of secant slopes to compute g ( x ). 4. If f ( x ) = sin x , use a limit of secant slopes to compute f ( x ). Part II You now have two new rules for
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Unformatted text preview: dy/dx when y = sin x or y = cos x . Use your new rules on homework problems 1-4 from you text. I recommend quotient rules for cot x and csc x . Part III Speaking of quotient rules: 1. Find dy/dx for y = tan x = sin x cos x 2. Simplify your answer as far a possible. (Aim for sec 2 x ). 3. Repeat for y = sec x . Aim your simplication at sec x tan x . 4. Repeat for y = cot x and y = csc x . 1...
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