Find y' given xe*y – x sin- y = In(xy).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.4: Definition Of The Derivative
Problem 6YT
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Hi! Can you help me solve this one? I know it's too long and I always get the wrong answer. Is any of the four options in the image a correct answer? If it's okay I want to see your solution. Thank you!
Find y' given
xe*y – x sin- y = In(xy).
|
Transcribed Image Text:Find y' given xe*y – x sin- y = In(xy). |
y² VT
– y²[1+ In(xy)]
yVI - y²[1+ In(xy)]
x³ ye*Y /T– y² – x²y – x/T- y²
x³ yeY /T – y² – x²y – x/T- y²
y²VT - y°[1 – In(xy)]
x³ ye" /T- y² – x²y – x/I- y²
yVI- y°[1 – In(xy)]
x³ ye* /T– y² – x²y – xI -)
Transcribed Image Text:y² VT – y²[1+ In(xy)] yVI - y²[1+ In(xy)] x³ ye*Y /T– y² – x²y – x/T- y² x³ yeY /T – y² – x²y – x/T- y² y²VT - y°[1 – In(xy)] x³ ye" /T- y² – x²y – x/I- y² yVI- y°[1 – In(xy)] x³ ye* /T– y² – x²y – xI -)
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Hi! I am a bit confused before the third step. How did you go from xsin-1y to 1-ln(xy)? Can you please show me how you obtained (y√1-y2) [1 - ln(xy) - x2yexy]? I want to understand that part. Thank you!

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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,