Explain why the function is differentiable at the given point.
f(x, y) = 9 + x ln(xy ? 9), (2, 5)
the partial derivatives are
fx(x, y) = ?
and fy(x, y) = ?
so
fx(2, 5) = ?
and
fy(2, 5) = ?
both fx and fy
are continuous functions for xy > ?
and f is differentiable at
(2, 5).
find the linearization l(x, y) of f(x, y) at (2, 5).
l(x, y) = ?

question:

could we have options?

the one that has a slope of 1/2 and is positive.

step-by-step explanation: 2 buckets 1 trip ; 4 buckets 2 trips and so on.

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph