Let z = g(x, y) and suppose that x(t) = t^2 + 3t + 2 and y(t) = e^t + sin(3t)

Find (dz/dt)|t=0

if (dg/dx)|(1,2) = 6

(dg/dy)|(1,2) = -2

(dg/dx)|(2,1) = -3

(dg/dy)|(2,1) = 8

(dg/dx)|(0,0) = 0

(dg/dy)|(0,0) = -4

Thank You.

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- Dec 11th 2008, 01:38 PMDavidWagnerPartial derivative chain rule
Let z = g(x, y) and suppose that x(t) = t^2 + 3t + 2 and y(t) = e^t + sin(3t)

Find (dz/dt)|t=0

if (dg/dx)|(1,2) = 6

(dg/dy)|(1,2) = -2

(dg/dx)|(2,1) = -3

(dg/dy)|(2,1) = 8

(dg/dx)|(0,0) = 0

(dg/dy)|(0,0) = -4

Thank You. - Dec 11th 2008, 02:02 PMTheEmptySet