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Question 70
Let w=cos(4x−4y) , where x=t9 and y=3. Find dwdt. \text { Let } w = \cos ( 4 x - 4 y ) \text {, where } x = t ^ { 9 } \text { and } y = 3 \text {. Find } \frac { d w } { d t } \text {. } Let w=cos(4x−4y) , where x=t9 and y=3. Find dtdw.
A) dwdt=12sin(4t9−12) t8\frac { d w } { d t } = 12 \sin \left( 4 t ^ { 9 } - 12 \right) t ^ { 8 }dtdw=12sin(4t9−12) t8 B) dwdt=−36sin(4t9−12) t8\frac { d w } { d t } = - 36 \sin \left( 4 t ^ { 9 } - 12 \right) t ^ { 8 }dtdw=−36sin(4t9−12) t8 C) dwdt=9sin(4t9−12) t8\frac { d w } { d t } = 9 \sin \left( 4 t ^ { 9 } - 12 \right) t ^ { 8 }dtdw=9sin(4t9−12) t8 D) dwdt=36sin(4t9−12) t8\frac { d w } { d t } = 36 \sin \left( 4 t ^ { 9 } - 12 \right) t ^ { 8 }dtdw=36sin(4t9−12) t8 E) dwdt=−12sin(4t9−12) t8\frac { d w } { d t } = - 12 \sin \left( 4 t ^ { 9 } - 12 \right) t ^ { 8 }dtdw=−12sin(4t9−12) t8
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