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L13 - y = 1 x 2-2 at(2 1 2 7 If f(2 = 3 and f(2 =-1 g(2 = 5...

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L13 – Product and Quotient Rules The Product Rule – If f and g are both differentiable, then d dx f ( x ) g ( x ) = 1
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If h ( x ) = ( x 2 + 5 )( - 2 x 3 - x ) , find h 0 (1). 2
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The Quotient Rule – If f and g are both differentiable, then d dx f ( x ) g ( x ) = 3
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If f ( x ) = 3 x 2 - 3 e x , find f 0 ( x ) . 4
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Find f 0 ( x ) if f ( x ) = 4 x x 2 + 1 . Find the equation of all horizontal tangent lines to f ( x ) . 5
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If f ( x ) = ( x - 2) 2 x , find f 0 ( x ) . Where is the tangent line to f ( x ) parallel to 35 x + y = 4 ? 6
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Find the equation of the normal line to
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Unformatted text preview: y = 1 x 2-2 at (2 , 1 2 ). 7 If f (2) = 3 and f (2) =-1, g (2) = 5 and g (2) = 1 3 , find h ( x ) where h ( x ) = f ( x ) g ( x ) . 8 If h ( x ) = x 2-3 xf ( x ) , f (2) = 3, and f (2) = 1 2 , find h (2). 9 At what point(s) do the tangent lines to y = x 3 + x 2 x pass through (2 ,-3)? 10...
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