Calculus 1 Worksheet 1.docx - Calculus 1 Worksheet Section...

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Calculus 1 Worksheet Section 3.1 – 3.3 Differentiate: 1. f ( x ) = 4 x 5 −5 x 4 2. f ( x ) = e x sin x 3. f ( x ) = x 1 + x 2 4. f ( x ) = x 2 1 x 5. f ( x ) = (3 x 2 )( x 1/2 ) 6. f ( x ) = 2 x 4 + 3 x 2 1 x 2 7. f ( x ) = sin x cos x 8. f ( x ) = (-2 x 4 + 5 x 2 + 4)(-3 x 2 + 2) 9. f ( x ) = (-10 x 2 - 7 5 x 2 + 9)(2 x 3 + 4) 10. f ( x ) = (-3 x + x -3 )(-4 x 3 +3) 11. f ( x ) = x 4 + 6 3 4 x 4
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12. f ( x ) = (sin x )(tan x ) 13. Find the first and second derivatives of the function. f ( x ) = e x x
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