Math+19A+-+Review+2+-+Fall+11

Math+19A+-+Review+2+-+Fall+11 - Math 19A - Review 2 - Fall...

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Unformatted text preview: Math 19A - Review 2 - Fall 11 1.) Differentiate. (a.) f ( x ) = √ 3 x 2 + 2 x + 1 (j.) h ( s ) = 3 √ s 4 +5 (b.) g ( x ) = 1 ( x 4 + 3) 5 (k.) y = 1 + ln( x ) 1- ln( x ) (c.) h ( x ) = 5 x- 1 √ 3 x 2 + 2 (l.) x ( z ) = 3 √ z cosh( z 3 ) (d.) y = √ 3 x- 1 ( x 3 + 1) 2 (m.) φ ( t ) = tan- 1 ( e t 2 ) (e.) G ( x ) = tan( x ) x 2 (n.) g ( θ ) = ln(sec( θ ) + tan( θ )) (f.) s ( θ ) = sin 2 (cos( θ )) (o.) F ( x ) = tan- 1 ( x 1 + x 2 ) (g.) f ( x ) = sec 3 ( √ 1 + x 2 ) (p.) h ( x ) = x x (h.) θ ( t ) = e 5 t cos 2 ( t 3 ) (q.) g ( x ) = x cos( x ) (i.) y = e x sec(2 x ) (r.) f ( x ) = [ln( x )] x 2.) Let f ( x ) = x √ 2 x + 1 . Find f 000 ( x ). 3.) Use implicit differentiation to find dy/dx . (a.) x 2 + xy- y 2 = 4 (b.) 1 + x = sin( xy 2 ) (c.) y 5 + x 2 y 3 = 1 + x 4 y (d.) y sin( x 2 ) = x sin( y 2 ) 4.) Suppose s ( t ) = t 3- 18 t 2 +105 t, ≤ t ≤ 10, gives the position of a particle moving in one dimension as a function of time where s is measured in feet and t...
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This note was uploaded on 11/25/2011 for the course MATH 19A taught by Professor Bauerle during the Fall '06 term at University of California, Santa Cruz.

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Math+19A+-+Review+2+-+Fall+11 - Math 19A - Review 2 - Fall...

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