10 Answered Questions for the topic Partial Derivatives

Find the indicated partial derivative

f(xyz)= xyz   fz = (e,1,0)    I ended getting an answer of 1 . I am not sure if this is right. 

Finding critical points and limits.

Let f(x,y) = 1/(x2 - y) (a) Determine the critical points of f.(b) Does the limit of the function f at the point (0, 0) exist? Justify your answer

find a point within a triangle such that the sum of the squares of its distances from three vertices is minimum

find a point within a triangle such that the sum of the squares of its distances from three vertices is minimum

Help! Function of two variable

Let w=f(x,y) be a function of two variables and let x=u+v, y=u-v. Show that ∂2w/∂u∂v=∂2w/∂x2-∂2w/∂y2.

Partial derivatives help

I'm having problems finding the following: say F = -kTN*ln(2*cosh(βμB)) where everything is a constant and β=(1/kT) I want to find S = -(∂F/∂T) and the answer should be S = kN[ln(2*cosh(βμB)) -... more

Show that when r changes by ?r; the change in the acceleration due to gravity, g; is given by ?g ˜ -2g ( ?r / r)

The acceleration due to gravity, g; is given byg = GM / r2 ; where M is the mass of the earth, r is the distance from the center of the earth,and G is the universal gravitational constant. Show... more

how do i find the derivative of 2xe^x^2?

I have an equation based on the principle   lim     f(x)            lim     f'(x) x→x0  g(x)    =    x→x0  g'(x)    lim     sin2x   =    lim     2sinxcosx   =        cos2x lx=0      =   1 x→0 ... more

calculus 3

express dw/dt as a function of t, both by using the chain rule and by expressing w in terms of t and differentiating directly with respect to t. then, evaluate dw/dt at the given value of t.   1.... more

Partial derivative

find the ∂f/∂x and ∂f/∂y of: 1.f(x,y)=tan-1(y/x) 2.f(x,y)=e-xsin(x+y) 3. f(x,y)=x/(x^2+y^2)  

Partial Derivatives

Let a and b be positive constants. Let R(x,y) = bx^(a)y^(b)1. Calculate x(∂R/∂x) + y(∂R/∂y).2. Calculate (a + b)R(x,y).3. How are the two expressions above related?I know how to find partial... more

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