1.5 Class Notes

# 1.5 Class Notes - HWK#3 Due Tues 2/13 Wed 2/14 Solutions...

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HWK #3. Due Tues 2/13, Wed 2/14 Solutions will be available 2/15 4.3: 22, 28, 36, 46 4.4: 2, 8, 18, 38b Not HWK. 4.5: 1, 7, 9, 11 Prelim 1: Tues 2/20 covers 3.3-4.5 Rule 1: (x p ) = px p-1 Rule 2: (cf) = cf Rule 3. (f+g) = f + g Rule 4. (fg) = f g + f g Rule 5. (1/g) = - g / g 2 Rule 6. (f/g) = (f g - f g ) / g 2 Rule 7. (f(g)) = f (g) g ( ) ( ) ( ( ( )) ( ( )) ( ( )) ( ( )) '( ( )) '( ) ) ( ) g x h g x g x h f g x h f g x h f g x h f g x h f g x g x x g + + = + + Rule 7. (f(g)) = f (g) g 5 3 2 Find the derivative of ( 2 ) x x + Rule 7. (f(g)) = f (g) g 5 3 2 2 5 3 4 2 5 3 4 2 9 7 5 ( 2 ) ( ) ( ) 2 '( ) 2 '( ) 5 6 Ans (2 4 )(5 6 ) 10 (12 20) 24 x x f g g g x x x f g g g x x x x x x x x x x + = = + = = + = + + = + + + A second solution 2 2 2 5 3 2 10 8 6 9 7 5 ( ) 2 ( 2 ) 4 4 10 32 24 a b a ab b x x x x x x x x + = + + + = + + = + +

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