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Rules + - chain , Techniques: Implicit differentiation Logrithmic differentiation Applications: related rates linear approximation, max/min, (shape, later) Review problems: Sec3.4 eg2 and eg4 eg7 Sec3.5 HW15#1 Find tangent line equation to curve at #4 Sec3.6 eg7 , y' eg8 Sec3.9 eg4. Car A is traveling west at 50 mi h and car B is traveling north at 60 mi h . Both are headed for the intersection of the two roads. At what rate are the cars approaching each other when car A is 0.3 mi and car B is 0.4 mi Review for Midterm II r2 Page 1

Review for Midterm II - University of Washingtonyuan/class/M124... · Sec3.4 eg2 and eg4 eg7 Sec3.5 HW15#1 Find tangent line equation to curve at #4 Sec3.6 eg7 , y' eg8 Sec3.9 eg4

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Page 1: Review for Midterm II - University of Washingtonyuan/class/M124... · Sec3.4 eg2 and eg4 eg7 Sec3.5 HW15#1 Find tangent line equation to curve at #4 Sec3.6 eg7 , y' eg8 Sec3.9 eg4

Rules + - chain

,

Techniques: Implicit differentiation Logrithmic differentiation

Applications: related rates linear approximation, max/min, (shape, later)

Review problems:

Sec3.4 eg2

and

eg4

eg7

Sec3.5 HW15#1 Find tangent line equation to curve at

#4

Sec3.6 eg7

, y' eg8

Sec3.9 eg4. Car A is traveling west at 50 mi h and car B is traveling north at60 mi h . Both are headed for the intersection of the two roads. At what rateare the cars approaching each other when car A is 0.3 mi and car B is 0.4 mi

Review for Midterm II

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Page 2: Review for Midterm II - University of Washingtonyuan/class/M124... · Sec3.4 eg2 and eg4 eg7 Sec3.5 HW15#1 Find tangent line equation to curve at #4 Sec3.6 eg7 , y' eg8 Sec3.9 eg4

Sec3.9 eg4. Car A is traveling west at 50 mi h and car B is traveling north at60 mi h . Both are headed for the intersection of the two roads. At what rateare the cars approaching each other when car A is 0.3 mi and car B is 0.4 mifrom the intersection?

better than in derivative calculation.

Sec3.10 eg1 Use linear approximation to approximate

and

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Page 3: Review for Midterm II - University of Washingtonyuan/class/M124... · Sec3.4 eg2 and eg4 eg7 Sec3.5 HW15#1 Find tangent line equation to curve at #4 Sec3.6 eg7 , y' eg8 Sec3.9 eg4

HW18S3.10 #9

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Page 4: Review for Midterm II - University of Washingtonyuan/class/M124... · Sec3.4 eg2 and eg4 eg7 Sec3.5 HW15#1 Find tangent line equation to curve at #4 Sec3.6 eg7 , y' eg8 Sec3.9 eg4

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Page 5: Review for Midterm II - University of Washingtonyuan/class/M124... · Sec3.4 eg2 and eg4 eg7 Sec3.5 HW15#1 Find tangent line equation to curve at #4 Sec3.6 eg7 , y' eg8 Sec3.9 eg4

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