Find the first partial derivatives of the function. f(x,y,z) = xe^(y/z) a. fx = ? b. fy = ? c. fz = ?
104,005 results
Maths: Partial Differentiation
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 = sin theta.sin phi.sin gamma, and z is calculated for the values theta = 30degrees, phi = 45 degrees and gamma = 60degrees,

calculus
Find all first and second partial derivatives of z with respect to x and y if x^2+4y^2+16z^2−64=0.

Calculus
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

Physics
Figure a is a partial graph of the position function x(t) for a simple harmonic oscillator with an angular frequency of 1.75 rad/s; figure b is a partial graph of the corresponding velocity function v(t). The vertical axis scales are set by xs = 2.50 cm

calculus please help asap
true or false questions: a)The derivatives of the reciprocal trigonometric functions can be found using the chain rule and their related base functions. b) A sinusoidal function can be differentiated only if the independent variable is measured in radians.

Calc 3
Find all partial derivatives? v = (xy)/(xy) vxx= vxy= vyx= vyy=

Calculus  HELP plz!
Find all of the first partial derivatives of f(x,y,z)=arctan y/xz

cal
Finding Partial Derivatives Implicitly. Find dz/dx and dz/dy for 3x^(2)zx^(2)y^(2)+2z^(3)+3yz5=0 How would you type this in wolfram alpha calcultor to get the answer? Thanks,

Calculus
Find out the partial derivative w.r.t 'x' and 'y' of f (x,y) = log(y) x Now, log(y) x = ln x / ln y Partial Diff w.r.t 'x' = 1/ x ln y so can you find out what will be the partial derivatives w.r.t 'y'

calculus
Let f be a function that has derivatives of all orders for all real numbers. Assume f(0)=5, f'(0)=3, f''(0)=1, and f'''(0)=4. Write the thirddegree Taylor polynomial for h, where h(x) = integral of f(t)dt from 0 to x, about x=0 for this part, I got

Math
) Suppose that z=f(x,y)z=f(x,y) is defined implicitly by an equation of the form F(x,y,z)=0F(x,y,z)=0. Find formulas for the partial derivatives ∂f∂x∂f∂x and ∂f∂y∂f∂y in terms of F1,F2,F3F1,F2,F3. To enter your answer use F1, F2, F3 as the

calculus
a)find the first partial derivatives of f(x y)= x √1+y^2 b)find the first partial derivatives of f(x,y)= e^x ln y at the point (0,e)

Calculus
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) fxx(9, 2) = fxy(9, 2) = fyx(9, 2) = fyy(9, 2) =

algebra
consider a partial set of ordered values of the function f(x)=3^x x 1,0,1,2,3 f(x) 1/3 ,1,3,9,27 given g(x)is the transformation of the graph f(X) and the following set shows a partial set of ordered values of g(X). X 1,0,1,2,3 G(x) 4/3,2,4,10,28

*math (7)
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, 4) = ? fy(5, 4) = ?

Physics
A potential energy function for a twodimensional force is of the form U = 3 x^(4)y  8 x. Find the force that acts at the point (x, y). (Use x and y as appropriate.) I know its something about partial derivatives but I'm not sure how to go about it. And

Calculus
Find the derivatives of the function f(t)=cosh^2(4t)sinh^2(4t). Simplify your answer completely.

math (2)
Find the first partial derivatives of the function. f(x,y,z) = xe^(y/z) a. fx = ? b. fy = ? c. fz = ?

cal3
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 ∂f/∂x and ∂f/∂y in terms of F1,F2,F3 To enter your answer use F1, F2, F3 as the partial derviatives of Fwith respect to its

math
Find the first order partial derivatives. z=ln(xysqrt(x^2y^2)

Math(Please help)
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 especially with the (2,1).

differential calculus
use the product rule to find the derivatives of the given function y=(3x^28)^2

physics
Part (a) of the figure below is a partial graph of the position function x(t) for a simple harmonic oscillator with an angular frequency of 1.00 rad/s; Part (b) of the figure is a partial graph of the corresponding velocity function v(t). The vertical axis

Maths Calculus
We want to build a rectangular cardboard box with no top and of given volume V using the least quantity of cardboard. Find the length of the box's edges by fnding the minimum of the total surface function. Verify that the point you found is indeed a

calculus
PLEASE HELP Find the first and second derivatives of the function. y = e^8ex. I keep getting y' = e^8ex * 8 and its wrong. how do you do this?

Calculus
I finished this problem but I wanted some feedback because I don't know if it's entirely correct. Suppose that functions f and g and their derivatives with respect to x have the following values at x=2. f(x)=8 g(x)=2 f'(x)=1/3 g'(x)=3 Find d/dx of f(g(x))

calculus
Quadratic function written in standard form where a, b, and c are constants such that a is not zero. f(x)= ax^2+bx+c Using calculus find the vertex of the parabola formed by this quadratic function. Determine under what conditions this vertex is a maximum

unique solution
How do I show that the equation x^4 + 3x + 1 = 0, 2

calculus
find the secondorder partial derivatives of f(x,y)=x^3 + x^2y^2 + y^3 + x+y and show that the mixed partial derivatives fxy and fyx are equal

math (2)
Find the first partial derivatives of the function. f(x,y,z) = xe^(y/z) a. fx = ? b. fy = ? c. fz = ?

Maths
Can someone help me with the following? Prove that (grad)^2 f(r) = D^2/dr^2 + (2/r) Df/Dr Where D^2/dr^2 refers to the second partial derivative of f , w.r.t. r and Df/ Dr refers to partial derivative of f, w.r.t r vector r = xi + yj + zk and f(r) is twice

calculus
Just doing example questions to better understand. Find all first and second partial derivatives for the function u= xy^2+x^2y

math (7)
Find the secondorder partial derivatives of the function. f(x,y) = x^5 + x^2y + x + 5 a. fxx = ? b. fyy = ? c. fxy = ? d. fyx = ?

math (8)
Find the secondorder partial derivatives of the function. f(x,y) = x^5 + x^2y^2 + y^4 + x + y a. fxx = ? b. fyy = ? c. fxy = ? d. fyx = ?

Calculus III
Hi, this question is about Langrange multipliers. Given f(x,y) = y^2  x^2, subject to the constraint g(x,y) = 0.25x^2 + y^2 = 1, find the max and mins. So I found the partial derivatives for both f(x,y) and g(x,y): fx = 2x fy = 2y gx = 0.5x gy = 2y And

Calculus III
Hi, this question is about Langrange multipliers. Given f(x,y) = y^2  x^2, subject to the constraint g(x,y) = 0.25x^2 + y^2 = 1, find the max and mins. So I found the partial derivatives for both f(x,y) and g(x,y): fx = 2x fy = 2y gx = 0.5x gy = 2y And

Calculus III
Hi, this question is about Langrange multipliers. Given f(x,y) = y^2  x^2, subject to the constraint g(x,y) = 0.25x^2 + y^2 = 1, find the max and mins. So I found the partial derivatives for both f(x,y) and g(x,y): fx = 2x fy = 2y gx = 0.5x gy = 2y And

math (3)
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) = ?

mathematical physics
Obtain all the first and second order partial derivatives of the function: f( x, y ) = In(I+xy^2)

Calculus
Find the first partial derivatives and evaluate each at the given point. Function w = 2x^2y − 6xyz + 10yz^2 Point (2, 5, −3) wx(2, 5, −3) = wy(2, 5, −3) = wz(2, 5, −3) =

Calculus
Find the first partial derivatives and evaluate each at the given point. Function w = sqrt(5x^2 + y^2 − 4z^2) Point (2, −4, 2) wx(2, −4, 2) = wy(2, −4, 2) = wz(2, −4, 2) =

chemistry
The time dependent concentration of solute particles in a solution is given by c(r, t) = [n/8(pi D t)^(3/2)] e^(r^2 /4 D t) where r^2 = x^2 + y^2 + z^2 with x, y, and z being the values of three components of the position in the Cartesian coordinate

Math(Please help)
Evaluate: f(x,y)=2x^3e^y a) partial derivative with respect to x. I know that you have to treat y as a constant but I have no idea what to do. I do not understand partial derivatives at all. Please help!! b) partial derivative with repsect to y.

Calculus
Find all first partial derivatives: f(x,y)=e^(xy)cosx

math
Z=square root of (x^2+y^2) + xy Find the partial derivatives: x, xx, y, yy, xy. Thanks.

calculus
Z=square root of(x^2+y^2) + xy Find the partial derivatives: x, xx, y, yy, xy. Thanks.

math
I studied derivatives before, but kind of forgot them all, is there a website that gives me an overview of derivatives. What is first and second derivatives, how to find it, all the derivative rules and so on... thank you

calculus
find the partial derivatives du/dx, du/dy and du/dt. u= root (r^2+s^2, r = y + x cos(t), s = x + y sin(t);when x = 0, y = 2, t = 2

calc 3
Find all partial derivatives? v = (xy)/(xy) vxx= vxy= vyx= vyy=

Calculas
Can someone please walk me through the steps for the following Partial derivatives problems: f(x,y) = x^7  8y  3, find x and y f(x,y) = 7 / 5x+4y, find x and y

largest possible area
Again from applications of derivatives.. what is the largest possible area for a right triangle whose hypotneus is 5cm long, and what are its dimensions. Thanks a^2 + b^2 = c^2 3^2 + 4^2 = 5^2 Area of a triangle 1/2 base times altitude hint: base is 3

Calculas
Can someone walk me through the following questions: Partial Derivatives f(x,y) = x^7 8y 3 find x and y f(x,y) = 7 / 5x + 4y, find x and y

engineering mathematic
give that z = f(x,y). use partial derivatives to find δz/δx and δz/δy for xe^xz + z(xy+1)^3sin x cos^2y=xy/z present your final answer in the simplest form.. please solve this problem....tq

calculus
Find the derivatives of the following function: i)y=3x^3 +2x^2 + x2

Calculus
Find the partial derivatives of f(x,y)=(sinx + y)^(y sinx)

calculus
Find the first and second derivatives of the function. h(x) = sqrt x^2 + 1

Math
Find the derivatives of the function g(t)= cosh^3 t.

Maths
Find the first and second derivatives of the following function: f(x)=7cosx+sin2x

Calculus
Find a formula for the derivatives of the function m(x)=1/(x+1) IS the answer 1/(x+h)(x+h+1)

Calc
Classify all critical points of the function f(x,y)=x^2y^2+4x2y+1. I know I have to take the partial derivative and set them equal to zero to get my points and then use the Hessian. For some reason I am not getting the correct answer. partial d/dx 2x+4

math
find the derivatives, dy/dx for the folowing function : y=ln(cos(0.5)+(sin(x^2+3))^1/3)

maths
find the maximum valu of any of the function without using derivatives 16x+8x+7

Math
1. The function r(w) = 2aw2 + b + c where a, b and c are constants. w You are given that r(1) = 5; r’(4) = 12 and r′’(2) = 18. By substituting for w in the above function and its derivatives or otherwise, show that the three given function values

Math
The function r(w) = 2aw2 + b + c where a, b and c are constants. You are given that r(1) = 5; r’(4) = 12 and r′’(2) = 18. By substituting for w in the above function and its derivatives or otherwise, show that the three given function values give

Math
I am having trouble figuring out how to do partial derivatives. I have tried practice problems and have read my textbook but I am still so confused. Could someone please explain how to do this? Thank you.

Calculus
Find a formula for the derivatives of the function m(x)=1/(x+1) Please help.....Any assistance would be greatly appreciated.

Calculus
Hi~ Thank you for your help! I was trying to work on a problem about Taylor series, but i don't think im approaching the problem the right way. I have to find the fifth order Taylor polynomial and Taylor series for the function f(x) at x = 0. f(x) =

Calculus
Just got through with derivatives, power rule, and chain rule. I am supposed to find the first and second derivatives of the function. y = 4x/√x+1 and y = cos^2(x) y' = [(x+1)^(1/2)(4)][(4x)(1/2(x+1)^(1/2))(1)] y' =

Maths
If z=(x^n) f(x/y), where f is an arbitrary function, show that: x(partial z/partial x) + y (partial z / partial y) = nz Can someone please show me how to work it out? Thanks!

Calculus
Okay so I have a question on my assignment that says: You are given that tan(y) = x. Find sin(y)^2. Express your answer in terms of x. I know its derivatives, and I've tried taking the derivatives of both etc, and got them both to come out as cos(y)^2,

convert derivatives of x,y,z, to r, Ɵ,z
convert derivatives of x,y,z, to r, Ɵ,z with chain rule? I want provment rules of converting rectangular derivatives to cylindrical derivatives and and also cylindrical to spherical.I know the rules but I cant prove EQUATIONS.thx alot

Calculus
Find the derivatives of the function k(x)=sqrt(sin(2x))^3 I think I have the answer and was wondering if i had it correct k'(x)=2sin(x)^3+8sin(x)

Calculus
Find the outside and inside functions of the following to find their derivatives: 1) sqrt(2x+9) 2) cos(cos(x)) 3) tan(x) I already know how to find their derivatives I'm just not exactly sure what parts of the chain rule equation would be considered the

calculus
Find a function f such that the curve y = f(x) satisfies y'' = 12x, passes through the point (0,1), and has a horizontal tangent there. I can use the antiderivatives to get y = 2x^3 + Cx + D but I don't know how to get C even though I know D = 1.

calculus
let f be the function f(x) = e^(2x^2) find the first four nonzero terms and the general term of the power series for f(x) about x = 0 i tried doing this problem but finding the derivatives gets way too complicated can anyone help??

Calculus
show that the curves r=asin(è) and r=acos(è) intersect at right angles. can you show that the derivatives for each are the negative reciprocal of each other? That is the key. i need more info..i know how to find the derivative...but how will that prove

math
Find the first and second derivative of the function y=f(x)=x^3/(1(x^2)) Use the information about the derivatives to determine any local maxima and minima, regions where the curve iss concave up or down, and any inflection points

chemistry
When determining partial negatives and partial positives, does the partial postive go with the more electronegative atom? Ex: C=O, the polarity arrow goes toward the O because its more electronegative than the C but which atom gets the partial negative and

Physics Phase Constant
Figure A [[which i tried to recreate below]] is a partial graph of the position function x(t) for a simple harmonic oscillator with an angular frequency of 1.1 rad/s. [a] ............x(cm).............. .................5.................

Math  Calculus 1
Approximate using derivatives. (Must show work using derivatives!) Do not use a calculator: (1.1)^4  (1.1)^2

Calculus (Urgent!!)
Hello everyone, I need help with the following problems. Find the partial derivative of the following: 1) f(X1, X2) = X1^1/2*X2^3/4 2) f(x1,x2,x3) = ln(x1)x2 + 3x3 3) f(x,y) = 3x + 4y 4) f(x,y) = x^1/2 +x/y + y/x Find the maximum of the following function:

Calculus
Find the derivatives of the function f(y)= sinh(sinh(7y).

Calculus ll
Find the partial derivative of the function with respect to each of the independent variables.f(x,y)=xe^2y

Calculus
The rational function (x4)/x(2x1) can be expressed as the sum of two partial fractions: A/x and B/(2x1). Find the value of A – B. a) 11 b) 11 c) 3 d) 3

math
Derivatives are usually not taught in 5th grade. That is what your question is about: Rates of change. Complete the following statements with the correct words Note: Correct spelling is important. If s(t) is a distance (or height or position) function,

Calculus Please check
Please check my answers and let me know if I did something wrong. Thank you! Find the partial derivative of x, and the partial derivative of y, then the partial derivative of x (1,1), and the partal derivative of y (1,1). f(x,y) = x^4 y^2 x here is what

Applied Calculus
Find the first and second derivative of the function: x/(7x+10) Using quotient rule. This is part of my homework in the section named "Higher Order Derivatives". I am confused on getting the second derivative, as I found the first derivative to be

extreme value of absolute.....
find the extreme values of the function on the interval and where they occur. f(x) = x1x5, 2

Physics Phase Constant
..im really stuck on this. can someone please explain?  Figure A [[which i tried to recreate below]] is a partial graph of the position function x(t) for a simple harmonic oscillator with an angular frequency of 1.1 rad/s. [a].....x(cm).......

MathDerivitives
if f(x)=x^3+5x, then f'(2)= if f(x)=cos(2x), then f'(pi/4) derivatives and anti derivatives please help

Chemistry
1.) What are the equilibrium partial pressures of CO and CO2 if co is the gas present initially, at a partial pressure of .912 atm. Kp = 19.9 Fe2O3 + 3CO 2Fe + 3CO2 I'm trying to find partial pressure of both CO and CO2 by calculating for "x" in the

Chem
Consider the reaction: A(g)⇌2B(g) Find the equilibrium partial pressures of A and B for each of the different values of Kp. Assume that the initial partial pressure of B in each case is 1.0 atm and that the initial partial pressure of A is 0.0 atm. Make

Chemistry Help PLEASE!!
I don't know how to do this question, I understand we have to use ICE but I keep getting the wrong answer when I solve for x, it's just not working for me. Consider the following reaction: A(g) > 2B (g) Find the equilibrium partial pressures of A and B

chemistry help!!!!!
Consider the following reaction: Find the equilibrium partial pressures of A and B for each of the following different values of Kp. Assume that the initial partial pressure of B in each case is 1.0 atm, and that the initial partial pressure of A is 0.0

calculus
If u = log(r), where r^2 = (xa)^2 + (yb)^2, and (x1) and (yb) are not zero simultaneously, show that d^2u/dx^2 + d^2u/dy^2 = 0. I first used some of the properties of log and made u = 1/2 * log((xa)^2 + (yb)^2) Then made u = 1/2 * ln((xa)^2 +

math
If z=r^2 tan^2(theta),x=r cos(theta),y=r sin(theta), find the {partial^2 z}/{partial(x)partial(y)}

Calculus  Integrals
I made this question, just wanted to make sure it didn't drown under the tide... I've set a problem up, something like this. s^4: A+D=0 s^3: 2A+B3D+E=0 s^2: 2AB+C+3D3E=0 s^1: 2A+BD+3E=4 s^0: A+CE=4 Count Iblis It's easier to substitute for s the

Calc
I'm creating a "calculu for dummies" project book. I've already done most of it, I'm just stuck on these ones. Thank you! What is the definition of a derivative? What does the derivative of a function tell you (in english) ? Then I need an example of the

Chem
At 930 K, Kp = 0.30 for the following reaction. 2 SO2(g) + O2(g)=>2 SO3(g) Calculate the equilibrium partial pressures of SO2, O2, and SO3 produced from an initial mixture in which the partial pressures of SO2 and O2 = 0.51 atm and the partial pressure of

Derivatives
Find the derivatives of: 1. H(x)= sin2xcos2x The answer given is 2cos4x. My question is, how in the world did they get that!? Shouldn't the answer at least contain the sin function, either negative or positive seeing as it's the derivative of cos? Also,