Question

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

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

Homework Answers

Answer #1

Let f(x,y)= ln (x​​​​​​2+2xy+y​​​​​​2+1) , then first by differentiating f(x,y) with respect to x( treating y as constant) to get and then Differentiating f(x,y) with respect to y (treating x as constant), as done in the solution provided below.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the first- and second-order partial derivatives for the following function. z = f (x, y)...
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...
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...
1.Show that near the origin,sinx+siny≈x+y 2.Find the first order partial derivatives of f (x, y, z)...
1.Show that near the origin,sinx+siny≈x+y 2.Find the first order partial derivatives of f (x, y, z) = xysin (xy) + e^z^2
Use the Chain Rule to find the indicated partial derivatives. R = ln(u2 + v2 +...
Use the Chain Rule to find the indicated partial derivatives. R = ln(u2 + v2 + w2), u = x + 3y,    v = 5x − y,    w = 2xy; when x = y = 2 dR/dx= dR/dy=  
find all the second partial derivatives of f(x,y)= x^2y^2+3sinxtany
find all the second partial derivatives of f(x,y)= x^2y^2+3sinxtany
Find the four second partial derivatives of f(x, y) = 2x^5y^2 + x^2 y. please show...
Find the four second partial derivatives of f(x, y) = 2x^5y^2 + x^2 y. please show all work
(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....
(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=
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)
(a) Find an equation of the plane tangent to the surface xy ln x − y^2...
(a) Find an equation of the plane tangent to the surface xy ln x − y^2 + z^2 + 5 = 0 at the point (1, −3, 2) (b) Find the directional derivative of f(x, y, z) = xy ln x − y^2 + z^2 + 5 at the point (1, −3, 2) in the direction of the vector < 1, 0, −1 >. (Hint: Use the results of partial derivatives from part(a))
Find all second partial derivatives of the function: f(x,y) = x2y - 3xy3
Find all second partial derivatives of the function: f(x,y) = x2y - 3xy3
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT