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# plugin-thq3 - Differential Calculus Fall 2010 Take-Home...

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Unformatted text preview: Differential Calculus Fall 2010 Take-Home Quiz 3 Use the Product Rule to differentiate the function 1. f ( x ) = ( x 2 + sin x )(3 x- 15) 2. f ( x ) = √ x tan x 3. f ( x ) = ( x 2 + 1) sin x Use the Quotient Rule to differentiate the function 4. f ( x ) = cos x x 2 5. f ( x ) = 2(cos x- 1) 3 sin x 6. f ( x ) = 3 x x 2 + 2 7. Find f (3) given the following g (3) = 2 and g (3) =- 1 h (3) = 5 and h (3) =- 2 a) f ( x ) = 2 g ( x ) h ( x ) b) f ( x ) = 2 g ( x ) + h ( x ) c) f ( x ) = 7 + g ( x ) h ( x ) 8. Find the second derivative of the function f ( x ) = tan x 9. Find the second derivative of the function f ( x ) = x + 2 x- 3 10. Find the derivative of the function f ( x ) = s x x 3- 2 x 11. Find the derivative of the function f ( x ) = sin x x 3- 2 x 3 12. Find the derivative of the function f ( x ) = sin 3 4 x 13. Find an equation of the tangent line to the graph of f at the indicated point f ( x ) = √ 2 x 2- 7 , (2 , 1) 14. The length of a rectangle is given by 2( t 2 + 1) and its height is...
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plugin-thq3 - Differential Calculus Fall 2010 Take-Home...

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