5 x h 2 3 x h 5 x 2 3 x h 5 lim x parenleftbigg 5 x 2

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5( x + h ) 2 + 3( x + h ) + 5 x 2 3 x h 5. lim x 0 parenleftbigg 5 x 2 + 3 x + hx 2 x h parenrightbigg 6. lim x 0 5( x + h ) 2 + 3( x + h ) + 5 x 2 3 x h Explanation: When f ( x ) = 5 x 2 + 3 x then f ( x + h ) = 5( x + h ) 2 + 3( x + h ) so the derivative of f ( x ) is given by f ( x ) = lim h 0 f ( x + h ) f ( x ) h = lim h 0 5( x + h ) 2 + 3( x + h ) + 5 x 2 3 x h .
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  • Fall '07
  • Sadler

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