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Unformatted text preview: a =4. Solution: Here we have f ( a ) = √ 25 = 5 and f ( x ) = ( √ x 2 + 9) = (( x 2 + 9) 1 / 2 ) = 1 / 2( x 2 + 9)1 / 2 ( x 2 ) = x √ x 2 + 9 , and so f (4) =4 / 5. Therefore L ( x ) = 54 / 5( x + 4) . 3. Find the diﬀerential dy for the following functions. (a) y = x 33 √ x Solution: dy = d ( x 33 √ x ) = 3 x 2 dx3 · 1 2 x1 / 2 dx = 3 x 2 dx3 2 √ x dx = 3 ± x 21 2 √ x ² dx. (b) y = cos( x 2 ) Solution: dy = d (cos( x 2 )) =sin( x 2 ) d ( x 2 ) =sin( x 2 )2 xdx....
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This note was uploaded on 04/16/2008 for the course MATH 9A taught by Professor Apoorva during the Winter '07 term at UC Riverside.
 Winter '07
 APOORVA
 Math

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