2. (a)
Determine all first and second order partial derivatives of
f(x,y,z) = x2y3 sin(xz)
(b)...
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)
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
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...