Given $x y = 6,$ Find $\frac { d y } { d t }$

question 49

Multiple Choice

Given $x y = 6,$ find $\frac { d y } { d t }$ when x = 4 and $\frac { d x } { d t } = - 2$

• A) \(\frac { d y } { d t } = \frac { 27 } { 4 }\)
• B) \(\frac { d y } { d t } = - \frac { 3 } { 4 }\)
• C) \(\frac { d y } { d t } = \frac { 3 } { 4 }\)
• D) \(\frac { d y } { d t } = \frac { 4 } { 3 }\)
• E) \(\frac { d y } { d t } = - \frac { 4 } { 27 }\)

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