Question

Find the indicated partial derivative(s).

f(x, y) = x^{8}y^{9} −
x^{7}y^{8}; f_{xxx}, f_{xyx}

Answer #1

Let f(x,y) be a function of x and y. The partial derivative of
f(x,y) with respect to y is equivalent to the directional
derivative of f(x,y) in the direction of the unit vector
Select one:
a. 〈0,1〉
b. 〈1,0〉
c. 〈1,1,1〉
d. 〈0,5〉

Find the directional derivative of f at the given point
in the direction indicated by the angle θ.
f(x, y) = y cos(xy), (0,
1), θ = π/4

find the derivative and show all your work
1. y=5/sinx+1/cot x
find the indicated derivative and show all your work
2. find Y(4) if y=-7cos x
3. find y'' if y=8x sin x

Find the directional derivative Dvf(x,y) where f(x,y) =
|x|·|y|.

Suppose that f(x,y)=xy. Find the directional derivative of
f(x,y) in the directional 〈−6,3〉 and at the point (x,y)=(1,−4).
Answer exactly or round to 2 decimal places.

find the directional derivative of f (x, y) = x ^ 2 in the
direction of v = i-j for the point (-1,2).

Find the directional derivative of the given function where
(x,y)=(1,1) in the indicated direction
Direction <3,4>
function=(12)/((x^2)+y)

f(x,y,z) = xey+z.
(a) Find the gradient of f, ∇f.
(b) Find the directional derivative of f at the point (2, 1, 2)
in the direction of ? = 3? + 4?.

1. Find the derivative of the function.
y = e−8/x
2. Find the derivative of the function.
s = t8et
3. Find the derivative
of the function.
y = ex5 − (ex)5
4. Find the derivative of the function.
y = e−5x ln(6x)

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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 19 minutes ago

asked 19 minutes ago

asked 35 minutes ago

asked 41 minutes ago

asked 48 minutes ago

asked 56 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago