Let
.
Find the first partial derivative
.
Let
where
and
.
Suppose that
and
.
Find
.
Let
.
Find the tangent plane at
.
Let
.
Find the total differential
.
Let
.
Find the tangent plane at
.
z = −21 + x + 6y z = −12 + 8x + 3y z = −6 + 6x + y z = −27 + 3x + 8y
Let
where
and
.
Express
in terms of
,
,
and
.
Let
.
Find the total differential
.
Let
.
Find the first partial derivative
.
Let
.
Find all the second partial derivatives.
;
;
;
;
;
;
;
;
Let
where
and
.
Express
in terms of
,
,
and
.