32 - The product rule If Proof: lim and are differentiable...

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Unformatted text preview: The product rule If Proof: lim and are differentiable functions, then lim lim lim lim lim lim lim lim lim lim lim lim lim The Quotient rule If and are differentiable functions, then MTH 173 ection 3.2 notes page1 4. differentiate Note that: product rule 8. differentiate quotient rule MTH 173 ection 3.2 notes page2 24. equation of tangent to at so far we know: we obtain from the derivative evaluated at : an equation is 32. a. b. , determine c. d. MTH 173 ection 3.2 notes page3 36. from the graph determine determine and and 38. If a. is differentiable, determine expression for the derivative of these b. MTH 173 ection 3.2 notes page4 c. d. 42. Determine equations of tangent lines to curve that are parallel to the line Slope is determined by solving the line equation for : The slope is , so we need to determine the values where the derivative is so we set the derivative to and solve: MTH 173 ection 3.2 notes page5 then go to the given function and determine the values: values for each of these eqn of line thru eqn of line thru graph to check: , slope of , slope of is is brown line is given line MTH 173 ection 3.2 notes page6 ...
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This note was uploaded on 09/17/2009 for the course MTH Calc taught by Professor Bush during the Spring '09 term at Northern Virginia.

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