Let u = f (UX, U + y), v = g (u-x, V ^ 2Y) find the partial derivatives of u to X and V to X

Let u = f (UX, U + y), v = g (u-x, V ^ 2Y) find the partial derivatives of u to X and V to X

u=f(ux,u+y),
∂u/∂x==f1(u+x∂u/∂x)+f2∂u/∂x
∂u/∂x=uf1/(1-xf1-f2)
v=g(u-x,v^2y)
∂v/∂x=g1(∂u/∂x-1)+g2(2vy∂v/∂x)
∂v/∂x=-g1/(1-g1- 2vyg2)

Given XY sin (π y ^ 2) = 0 x ^ 2Y + sin y ^ 2 = 0, we can find the first derivative of Y

The two sides of the two sides of the two sides of the two sides of the two sides of the two sides of the two sides of the two sides of the two sides of the two sides of the two sides of the two sides of the two sides of the two sides of the two sides of the two sides of the two sides of the two sides of the two sides of the two sides of the two sides of the two sides of the X, which is the: y + XY + xy-x-xy-39, 39, which is the (2 π Y2 (2) (2 π y) (2 π y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-\\\\\\\\\\\\\\= 2 π cos (π y ^ 2) - X / Y & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp;       (1)2xy+x^2 y'+ 2yy'cos(y^2)=0          y'[x^2+2ycos(y^2)]=-2xy                      y' = -2xy / [x^2+2ycos(y^2)]            (2)

Derivative of X * y ^ 2 = 2Y

This question y may be 0, can't be reduced directly
If both sides take derivatives of X at the same time, we get the following result
y^2+x*2y*(dy/dx)=2*(dy/dx)
The solution is (dy / DX) = y ^ 2 / 2 (1-xy)

How to translate English words and phrases

Finally
in the end
at last
finally
start
in the beginning
at first
start

In △ ABC, the edge BC = 16, the height ad on BC = 8, the quadrilateral efgh is the inscribed rectangle of the triangle, and EF = 2fg, find the s rectangle efgh

4*8=32

Is the twist followed by singular or plural

In the plural
Twins are two

Proof: the equation AX2 + BX + C = 0 of X has a real root of 1 if and only if a + B + C = 0. (X2 is the square of x)

The key to the analysis is to make clear the relationship between the condition and the conclusion, and to prove it in two steps, that is, the sufficiency of the proof (the conclusion is derived from the condition) and the necessity (the condition is derived from the conclusion). The sufficiency of the pre proof (also can be written as the proof "): ∵ a + B + C = 0, that is, C = - a-b.. AX2 + BX + C = AX2 + bx-a-b = (x-1) (...)

Spell your last name, please

Can you spell your last name,please?

How many square meters are left after a square flower bed with side length of 3 meters is built in the middle of a round grassland with radius of 5 meters

52 × 3.14-3 × 3, = 78.5-9, = 69.5 square meters. A: there are 69.5 square meters of grassland left

1. Usually (adjective)_____ 2. Handsome (adjective)______ 3. Easiest (antonym)______

usual
handsome
hardest