tra07 - CALCULUS Trancedental Functions. Chain Rule (III)...

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Unformatted text preview: CALCULUS Trancedental Functions. Chain Rule (III) 1. Differentiate: f ( x ) = log 2 sin x 2. Differentiate: f ( x ) = cossin x 3. Differentiate: f ( x ) = log 4 10 x 4. Differentiate: f ( x ) = cos5 x 5. Differentiate: f ( x ) = lncos x 6. Differentiate: f ( x ) = sinsin x 7. Differentiate: f ( x ) = 3 2 x 8. Differentiate: f ( x ) = log log 4 x 9. Differentiate: f ( x ) = 5 10 x 10. Differentiate: f ( x ) = 3 10 x A n s w e r s : 1 . f ( x ) = c o s x ( ln 2 ) s in x 2 . f ( x ) =- c o s x s in s in x 3 . f ( x ) = l o g 4 1 4 . f ( x ) =- ( ln 5 ) 5 x s in 5 x 5 . f ( x ) =- s in x c o s x 6 . f ( x ) = c o s x c o s s in x 7 . f ( x ) = ( ln 2 ) 2 x ( ln 3 ) 3 2 x 8 . f ( x ) = 1 ( l n 4 ) x ( ln 1 ) l o g 4 x 9 . f ( x ) = ( ln 1 ) 1 x ( ln 5 ) 5 1 x 1 . f ( x ) = ( ln 1 ) 1 x ( ln 3 ) 3 1 x c 2009 La Citadelle 1 of 3 www.la-citadelle.com CALCULUS Trancedental Functions. Chain Rule (III) Solutions: 1. f ( x ) = d d x f ( x ) = d d x log 2 sin x J Apply: d d x log b f ( x ) = 1 (ln b...
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tra07 - CALCULUS Trancedental Functions. Chain Rule (III)...

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