Consider the function f(x,y) = xe^((x^2)-(y^2))
(a) Find f(1,−1), fx(1,−1), fy(1,−1). Use these values to find...
Consider the function f(x,y) = xe^((x^2)-(y^2))
(a) Find f(1,−1), fx(1,−1), fy(1,−1). Use these values to find a
linear approximation for f (1.1, −0.9).
(b) Find fxx(1, −1), fxy(1, −1), fyy(1, −1). Use these values to
find a quadratic approximation for f(1.1,−0.9).
fxx, fxy, fyx, and fyy
f(x, y) = y (ln x)
fxx, fxy, fyx, and fyy
f(x, y) = y (ln x)
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...
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...
Consider the following function. H(x, y) = ln(5x^2 + 8y^2)
(a) Find fxx(2,3) .
(b) Find ...
Consider the following function. H(x, y) = ln(5x^2 + 8y^2)
(a) Find fxx(2,3) .
(b) Find fyy(2,3) .
(c) Find fxy(2,3) .
let
f(x,y) = xe^(xy)
Find the directional derivative of f at point (2,0) in the
direction...
let
f(x,y) = xe^(xy)
Find the directional derivative of f at point (2,0) in the
direction of vector <-6,8>. Find the maximum rate of change
of f at point (2,0) and the direction in which it occurs.
Please find ALL second partial derivatives of f: fx, fy, fz,
fxx, fyy, fzz, fxy, fxz,...
Please find ALL second partial derivatives of f: fx, fy, fz,
fxx, fyy, fzz, fxy, fxz, and fyz
For ?(?, ?, ?) = (?^?)(?^?)(?^?)
THANK YOU
Given w=f(x,y,z)
List all of the second and third derivatives. How many unique
second derivatives? How...
Given w=f(x,y,z)
List all of the second and third derivatives. How many unique
second derivatives? How many unique third derivatives?
Example: If z=f(x,y) , then z has 3 unique derivatives.
fxx, fxy. fyy