dz find and du dz of the function (z = dv fay) = x+y³), where x = ue- and y = sinv %3D at u = 0, v = T/2

Q: d'u d'u Verify dxdy dydx -1X for the function u = tan" y

A: We need to find second order partial derivative

Q: dy Find dx of the equation xcosy = sin(x + y)

A: Differentiating using chain rule of differentiation.

Q: Q/ Let w=F(Xi)) and X= V cose, y=Y Sine Show that (w 2 %3D Y

A:

Q: Find the directional derivative of J(, 9) + 3y at the point (2, the direction 57 radians.

A:

Q: Find the dy/dx of the function using DIFFERENTIATION OF CHAIN RULE, INVERSE AND PARAMETRIC FUNCTIONS…

A: Given that, x=t(2+t3)2, y=t2(2+t3)2 We have to find dydx, By using the chain rule for derivatives,…

Q: 4) Find the total derivative of the function: a.f(x, y) = ex²+y² 1 c. T(l,g) = 2₁ 2TT. b. z = x siny…

A: Total derivative of a function f(x,y) is given by df=fx dx+fy dywhere fx=∂f∂xfy=∂f∂y