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Unformatted text preview: ) = 8 x sec 2 (4 x 2 ) . Consequently, dy = 8 x sec 2 (4 x 2 ) dx . keywords: di²erential, trig Function, tan Function, Chain Rule, 003 10.0 points to (aqt73) – Section 3.9 – isaacson – (55826) 2 Find the diferential dy when y = 1 + sin x 3sin x . 1. dy = 3 sin x (3sin x ) 2 dx 2. dy =cos x 3sin x dx 3. dy = sin x (3sin x ) 2 dx 4. dy =4 cos x 3sin x dx 5. dy = 4 cos x (3sin x ) 2 dx correct 6. dy =4 cos x (3sin x ) 2 dx Explanation: A±ter diferentiation o± y = 1 + sin x 3sin x using the quotient rule we see that dy = (3sin x ) cos x + cos x (1 + sin x ) (3sin x ) 2 dx . Consequently, dy = 4 cos x (3sin x ) 2 dx ....
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 Spring '11
 Cathy
 Derivative, 1 1 L, dy, Isaacson

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