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Pre-Calc Homework Solutions 95

# Pre-Calc Homework Solutions 95 - Section 3.6 dr d d d 1 2 2...

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Unformatted text preview: Section 3.6 dr d d d 1 2 2 cos 2 sin 1 sin sin sin 1 d ( sin ) d d 5 (u 1) 5u 4 du 1 d ( x) dx 2 x 95 27. sin 33. f (u) g (x) sin 2 d d (sin ) (sin ) ( ) d d ( f g) (1) 34. f (u) g (x) (1 d (1 du d (1 dx f (g(1))g (1) u x) 2 1 f (1)g (1) 2 (5) ( cos sin ) ) u 1 u2 1 2 5 2 1 (1 1 (1 x)2 x) 2d dx (1 x) 28. dr d d (2 d sec ) sec ) 1 2 sec 1 sec x) ( 1) (2 ) (2 ) (2 ) d ( d ( sec ) 2 d (2 ) d ( f g) ( 1) (4) 35. f (u) 1 4 f (g( 1))g ( 1) f 1 g ( 1) 2 d (sec ) d 1 csc2 u d u 10 du 10 sec 2 sec (sec tan ) 2 2) sec 2 ( sec )(tan ) sec ( tan u d cot 10 du u csc2 10 10 d g (x) (5 x) dx 5 2 5 2 4 x ( f g) (1) 10 10 f (g(1))g (1) 2 f (5)g (1) 29. y y d tan x sec2 x dx d d sec2 x (2 sec x) (sec x) dx dx csc2 (1) 5 2 (2 sec x)(sec x tan x) 2 sec x tan x 30. y y d cot x csc2 x dx d d ( csc2 x) ( 2 csc x) (csc x) dx dx 2 36. f (u) d [u du (cos u) 2 1 1 g (x) d 2(cos u) 3 cos u du 2 sin u cos3 u ( 2 csc x)( csc x cot x) 2 csc2 x cot x 31. y d cot (3x dx d ( x) dx 1 1 1 ( f g) f (g( ))g 4 4 4 1 f g 4 4 2 1) 1) csc2 (3x 1) (3x d dx 1) 1 1 2 3 3 csc (3x y d [ 3 csc2(3x dx 2 ( ) 2 1)] d 1)] csc (3x dx 5 1) 37. f (u) d dx 2u d du u 2 1 (u 2 1) d (2u) du 3[2 csc (3x 3[2 csc (3x [ csc (3x 3[2 csc (3x 18 csc (3x 32. y 2 (2u) 1) 2 d 2 (u du 1) 1)] 1) cot (3x 1)] (3x 1) 1)](3) (u 2 (u 2 1)][ csc (3x 1) cot (3x 9 sec2 1) x d x 3 dx 3 1) cot (3x g (x) 1)(2) (2u)(2u) 2u 2 2 (u 2 1)2 (u 2 1)2 d (10x 2 x 1) 20x 1 dx ( f g) (0) f (g(0))g (0) f (1)g (0) (0)(1) 0 y d x 9 tan dx 3 x 3 sec2 3 d x 3 sec2 dx 3 x 6 sec sec 3 x 2 sec2 tan 3 3 2 sec x x tan 3 3 x 3 x 3 d x sec dx 3 d x dx 3 ...
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