Question

Find all first derivatives of the function:

f(x,y) = (x+y)/(x-y)

Answer #1

Find all second partial derivatives of the function:
f(x,y) = x2y - 3xy3

Find the first- and second-order partial derivatives for the
following function. z = f (x, y) = (ex +1)ln y.

part 1)
Find the partial derivatives of the function
f(x,y)=xsin(7x^6y):
fx(x,y)=
fy(x,y)=
part 2)
Find the partial derivatives of the function
f(x,y)=x^6y^6/x^2+y^2
fx(x,y)=
fy(x,y)=
part 3)
Find all first- and second-order partial derivatives of the
function f(x,y)=2x^2y^2−2x^2+5y
fx(x,y)=
fy(x,y)=
fxx(x,y)=
fxy(x,y)=
fyy(x,y)=
part 4)
Find all first- and second-order partial derivatives of the
function f(x,y)=9ye^(3x)
fx(x,y)=
fy(x,y)=
fxx(x,y)=
fxy(x,y)=
fyy(x,y)=
part 5)
For the function given below, find the numbers (x,y) such that
fx(x,y)=0 and fy(x,y)=0
f(x,y)=6x^2+23y^2+23xy+4x−2
Answer: x= and...

compute partial derivatives df/dx and df/dy, and all second
derivatives of the function:
f(x,y) = [4xy(x^2 - y^2)] / (x^2 + y^2)

Find all the second order partial derivatives of the
function
w = x - y / x2 + y

(1 point)
Find all the first and second order partial derivatives of
f(x,y)=7sin(2x+y)−2cos(x−y)
A. ∂f∂x=fx=∂f∂x=fx=
B. ∂f∂y=fy=∂f∂y=fy=
C. ∂2f∂x2=fxx=∂2f∂x2=fxx=
D. ∂2f∂y2=fyy=∂2f∂y2=fyy=
E. ∂2f∂x∂y=fyx=∂2f∂x∂y=fyx=
F. ∂2f∂y∂x=fxy=∂2f∂y∂x=fxy=

find the first partial derivatives of f(x,y) =
ln(x^2+2xy+x^2+1)

Calculate all four second-order partial derivatives for the
function f(x,y)=3+6x2y2 ?

Second derivatives For the following sets of variables, find all
the relevant second derivatives. In all cases, first find general
expressions for the second derivatives and then substitute
variables at the last step.
f(x,y) = e^(x-y), where x = s^2 and y = 3t^2

2. (a)
Determine all first and second order partial derivatives of
f(x,y,z) = x2y3 sin(xz)
(b) Determine all first-order partial derivatives of
g(x,y,z)=u2y+x2v where u=exz,
v=sin(yz)

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