Question

1) If z=Ln(x2+y2 ) , x=e-1 ,y=et the total derivative dz/dt will become-------------- Select one: A....

1)

If z=Ln(x2+y2 ) , x=e-1 ,y=et the total derivative dz/dt will become--------------

Select one:

A. dz/dt=2x/x2+ y2 . (-e-t) - 2x/(x2+ y2 ). et

B. dz/dt=2x/x2+ y2 . (-e-t)+2x/(x2+ y2 ). e-t

C. dz/dt=2x/x2+ y2 . (-e-t)+2x/(x2+ y2 ). et

D. dz/dt=2x/x2+ y2 . (e-t)+2x/(x2+ y2 ). et

2)

The second order partial derivative with respect to x of f(x,y)=cos(x)+xyexy+xsin(y) is-------------

Select one:

A. ∂/∂x(∂f/∂x) = 2y2exy + xy3exy

B. ∂/∂x(∂f/∂x) = −cos(x) + 2y2exy + xy3exy + sin(y)

C.  ∂/∂x(∂f/∂x) = −cos(x) + 2y2exy + xy3exy

D. ∂/∂x(∂f/∂x) = exy + 2y2exy + xy3exy – cos(y)

Clear my choice

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