Use the chain rule to find dwdt enter answer on in terms of

Use the chain rule to find dw/dt (enter answer on in terms of t)

w=xe^(y/z), x=t^6, y=2-t, z=4+5t

dw/dt=

Solution

dw/dt = ey/z dx/dt +   xe-z ey *dy/dt + xey e-z (-dz/dt)

: ey/z (6t5 ) + xey/z (-1) + xey/z (-5)

: ey/z ( 6t5 - x - 5x)

: ey/z ( 6t5 - 6t6 )

you can also change to y and z to t

answer !!!

Use the chain rule to find dw/dt (enter answer on in terms of t) w=xe^(y/z), x=t^6, y=2-t, z=4+5t dw/dt=Solutiondw/dt = ey/z dx/dt + xe-z ey *dy/dt + xey e-z (-

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