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Mathematics
OpenStudy (anonymous):

let z=ln(2x^2+y; let x,y be functions of t with x(1)=1, y(1)=2, x'(1)=3 y'(1)=4 find dz/dt when t=1, i know that i start with it in the form dz/dt=part(z)/part(x)part(x)/part(t) + part(z)/part(x)part(y)/part(t) just not sure where to go from there

OpenStudy (dumbcow):

find dz/dx and dz/dy dz/dx = 4x/(2x^2+y) dz/dy = 1/(2x^2+y) plug in the given info for when t=1

OpenStudy (anonymous):

but how do i find the part(x)/part(t) and part(y)/part(t)? thats the part im stuck on

OpenStudy (dumbcow):

its given at least for when t=1 x'(1) = 3 y'(1) = 4

OpenStudy (anonymous):

thanks, wow not enough coffee today yet i should have seen that, thank you

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