Partial Derivatives

Welcome to the Partial Derivatives category on Questions LLC! Here, you will find a collection of thought-provoking questions and discussions centered around the fascinating mathematical concept of partial derivatives. Whether you are a student, educator, or simply curious about exploring the depths of calculus, this category offers a platform to delve into the intricacies of partial derivatives and unravel their applications in various fields. From exploring the fundamental definition of partial derivatives to tackling advanced techniques, join us on this intellectual journey to gain a deeper understanding of this vital mathematical concept. Engage, ask, and unravel the complexities of partial derivatives with fellow enthusiasts from around the world!

Questions (67)

1) If x = rcos theta and y = r sin theta, show that partial r / partial x = cos theta and find partial theta / partial x.2) If z
1. 4 answers
2. asked by Claire
3. 12,648 views
Find all the first and second order partial derivatives of the function f(x,y) = 2x^3+ 3x^2 y^2 + 3x + 2/y + 4
1. 4 answers
2. asked by Anonymous
3. 2,687 views
Find all first partial derivatives:f(x,y)=e^(xy)cosx
1. 4 answers
2. asked by Elyse
3. 993 views
Find all partial derivatives?v = (xy)/(x-y) vxx= vxy= vyx= vyy=
1. 4 answers
2. asked by Becky
3. 4,631 views
Find all the second partial derivatives.f(x, y) = (x^6)y − (2x^3)y^2
1. 4 answers
2. asked by Paul
3. 81 views
Find the first partial derivative of function. z=xsin(xy)find dz/dx and dz/dy.
1. 4 answers
2. asked by Bill
3. 72 views
What is the interpretations of a partial derivative with respect to x? With respect to y?
1. 3 answers
2. asked anonymously
3. 89 views
What are the rules for finding partial derivatives of z=f(x,y)?
1. 1 answer
2. asked anonymously
3. 78 views
What are all the the notations for partial derivatives where z=f(x,y)?
1. 3 answers
2. asked anonymously
3. 96 views
give that z = f(x,y). use partial derivatives to find δz/δx and δz/δy forxe^xz + z(xy+1)^3-sin x cos^2y=xy/z present your
1. 3 answers
2. asked by waklu
3. 869 views
Find the first partial derivatives of the function.f(x,y,z) = xe^(y/z) a. fx = ? b. fy = ? c. fz = ?
1. 3 answers
2. asked by Mia
3. 1,498 views
Find the indicated partial derivative. (Assume a, b, and c are greater than three.)u = x^(a)y^(b)z^(c) [∂^(6)u]/[∂x
1. 4 answers
2. asked by #1
3. 2,084 views
The oracle function f(x,y) is presented below. For each point (x,y) you enter the oracle will tell you the value f(x,y).
1. 4 answers
2. asked by ally
3. 2,878 views
The temperature at any point in the plane is given by the function T(x,y)= 100/(x^2+y^2+1). Find the direction at the point
1. 3 answers
2. asked by Brittany
3. 776 views
Find the four second partial derivatives and evaluate each at the given point.Function f(x, y) = x^3 + 2xy^3 − 9y Point (9, 2)
1. 4 answers
2. asked by Calculus Help
3. 2,422 views
Find out the partial derivative w.r.t 'x' and 'y' off (x,y) = log(y) x Now, log(y) x = ln x / ln y Partial Diff w.r.t 'x' = 1/ x
1. 3 answers
2. asked by Akki
3. 1,562 views
Find all first and second partial derivatives of z with respect to x and y if x^2+4y^2+16z^2−64=0.
1. 4 answers
2. asked by andre
3. 2,798 views
Find all of the first partial derivatives of f(x,y,z)=arctan y/xz
1. 3 answers
2. asked by Sara
3. 1,888 views
Find the d^3z/dydx^2 partial derivative of:ln[sin(x-y)] The answer is supposed to be 1/2; however, I cannot figure out how to
1. 4 answers
2. asked by James
3. 421 views
Evaluate the first partial derivatives of the function at the given point.f(x, y) = x^2 + xy + y^2 + 2x - y ; at (-5, 4) fx(-5,
1. 3 answers
2. asked by Mia
3. 1,200 views
Find the partial derivative for x.f(x,y)=1/SQRTx^2+y^2
1. 3 answers
2. asked by Jane
3. 1,705 views
f(x,y)=x^2 e^2x lny (2,1)I need to find the partial derivatives with respect to x and y. I have not idea how to do this
1. 3 answers
2. asked by Hannah
3. 507 views
If z=1/(x^2+y^2-1)is x(dz/dx)+y(dz/dy)=-2z(1+z) or -z^2(1+z) note:dz/dx=partial derivative of x and dz/dy=partial derivative of
1. 3 answers
2. asked by Collins
3. 380 views
The partial derivative with respect to y for z=e^y sin(xy) is:zy= xe^y cos(xy) + e^y sin(xy) How do i get to this answer?
1. 3 answers
2. asked by Jean
3. 573 views
If z = f(x, y), wherex = r^2 + s^2 and y = 8rs, find ∂^2z/(∂r ∂s).
1. 4 answers
2. asked by Becky
3. 609 views
Find all partial derivatives?v = (xy)/(x-y) vxx= vxy= vyx= vyy=
1. 1 answer
2. asked by Becky
3. 396 views
find the second-order partial derivatives of f(x,y)=x^3 + x^2y^2 + y^3 + x+yand show that the mixed partial derivatives fxy and
1. 2 answers
2. asked by maggie
3. 528 views
Calculate all four second-order partial derivatives of f(x,y)=sin(5x/y). fxx(x,y)= fxy(x,y)= fyx(x,y)= fyy(x,y)=
1. 2 answers
2. asked by val
3. 46 views
Consider the partial derivativesfx(x,y)=4x3y7−20x3y, fy(x,y)=7x4y6−5x4. Is there a function f which has these partial
1. 2 answers
2. asked by val
3. 69 views
Determine 𝜕3𝑈 over 𝜕𝑥𝜕𝑦𝜕𝑧 , if 𝑈(𝑥, 𝑦, 𝑧) = 𝑒 power 𝑥𝑦z
1. 1 answer
2. asked by MIAMI
3. 184 views
Suppose xy^3z^2+133=2xy−z . Compute ∂z/∂x and ∂z/∂y at the point (2,−2,3).
1. 1 answer
2. asked by ally
3. 431 views
Suppose that z=f(x,y) is defined implicitly by an equation of the form F(x,y,z)=0. Find formulas for the partial derivatives
1. 1 answer
2. asked by Moren
3. 842 views
y=F(x+at) + f(x-at)y=F(w) + f(v) (w=x+at, v=x-at) don't see how to get from here to partial derivative y with respect to t =
1. 1 answer
2. asked by Anonymous
3. 352 views
Obtain all the first and second order partial derivatives of the function:f( x, y ) = In(I+xy^2)
1. 1 answer
2. asked by gourav
3. 455 views
4. Compute ∂z/∂r +∂z/∂s if z = sin u cos v, u = (r + s)2, and v = (r − s)2.
1. 1 answer
2. asked by rebecca
3. 309 views
Please check my answers and let me know if I did something wrong. Thank you!Find the partial derivative of x, and the partial
1. 2 answers
2. asked by Jennifer
3. 636 views
I think I have the right answer, but I am not 100% sure how to do the values at (1,-1) and the one below at (0,-1, 1). Please
1. 1 answer
2. asked by Jennifer
3. 436 views
I think I have the right answer, but I am not 100% sure how to do the values at (1,-1) and the one below at (0,-1, 1). Please
1. 1 answer
2. asked by Jennifer
3. 376 views
Find the second-order partial derivatives of the function.f(x,y) = x^5 + x^2y^2 + y^4 + x + y a. fxx = ? b. fyy = ? c. fxy = ?
1. 1 answer
2. asked by Mia
3. 432 views
Find the second-order partial derivatives of the function.f(x,y) = x^5 + x^2y + x + 5 a. fxx = ? b. fyy = ? c. fxy = ? d. fyx =
1. 1 answer
2. asked by Mia
3. 439 views
Evaluate the first partial derivatives of the function at the given point.(0,e)f(x,y) = 6e^x ln(y) fx(0,e) = ? fy(0,e) = ?
1. 1 answer
2. asked by Mia
3. 458 views
Find the first partial derivatives of the function.f(x,y,z) = xe^(y/z) a. fx = ? b. fy = ? c. fz = ?
1. 1 answer
2. asked by Mia
3. 441 views
Finding Partial Derivatives Implicitly.Find dz/dx and dz/dy for 3x^(2)z-x^(2)y^(2)+2z^(3)+3yz-5=0 How would you type this in
1. 3 answers
2. asked by jay
3. 1,573 views
if f(x,y) = e^(-x)cosy + e^(-y) cosxfind (∂^2 f)/(∂x^2 )+ (∂^2 f)/(∂y^2 )- 2(∂^2 f)/∂x∂y
1. 5 answers
2. asked by alya
3. 600 views
Suppose 4y + xy = 2. Evaluate d^2x/d2^y at the point (-3, 2).
1. 1 answer
2. asked by Randy
3. 378 views
Find the partial derivative of the function with respect to each of the independent variables.f(x,y)=xe^2y
1. 1 answer
2. asked by Chris
3. 393 views
f(x,y)=x^2 - y^2a)partial derivative with respect to x. So this means that you hold y^2 constant so would that be 0. So the
1. 1 answer
2. asked by Hannah
3. 423 views
Evaluate: f(x,y)=2x^3e^ya) partial derivative with respect to x. I know that you have to treat y as a constant but I have no
1. 3 answers
2. asked by Hannah
3. 558 views
z=u(v+w)^(1/2) find ∂^3z/(∂u∂v∂w)what partial derivative am I suppose to be finding exactly? Do I take the derivative of
1. 1 answer
2. asked by C
3. 460 views
How do you take the partial derivative of y = (1200z1z2)^1/2 in respect to z1. Please note z1 and z2 are variables.f'z1 =
1. 2 answers
2. asked by Anonymous
3. 477 views

Partial Derivatives

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