Test 3 sols

Test 3 sols - 1 TEST 3 SOLUTIONS 1[6 pts] Use the QUOTIENT...

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Unformatted text preview: 1 TEST 3 SOLUTIONS 1[6 pts] Use the QUOTIENT RULE to find ( 29 f x ′ : ( 29 cot 1 csc x f x x = + ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 2 2 3 2 2 2 2 3 2 2 2 2 2 1 csc csc cot csc cot csc csc csc cot 1 csc 1 csc csc csc csc csc 1 csc 1 csc csc csc csc 1 csc 1 csc 1 csc 1 csc x x x x x x x x x f x x x x x x x x x x x x x x x x +----- + ′ = = + +-- +-- +--- = = = = + + + + 2[6 pts] Find dy/dx: sin cos ; cos sin sin cos 2sin dy y x x x x x x x x x x dx =- = + + = + 3[6 pts] Find the equation of the line tangent to ( 29 cos 3 at y x x x π = = Recall that the slope is dy dx : ( 29 tan 3 sin 3 cos3 ; 1 x dy dy x x x m dx dx π = = - + = - = and at , x y π π = = - so the equation of the tangent is ( 29 ; y x y x π π + = -- = - 4[6 pts] Find ( 29 f x ′ : ( 29 ( 29 ( 29 ( 29 ( 29 2 2 3 2 2 3 2 7 7 ; 2 7 1 14 f x x x x f x x x x x------ ′ =- =- = -- + 5[6 pts] Find dy/dx by implicit differentiation: 2 3 3 3 x y xy x +- = ( 29 3 2 2 3 2 2 3 2 2 1 2...
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This note was uploaded on 12/26/2011 for the course MAC 2311 taught by Professor Staff during the Fall '08 term at FIU.

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Test 3 sols - 1 TEST 3 SOLUTIONS 1[6 pts] Use the QUOTIENT...

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