Find the first order partial derivative of the implicit function z = Z (x, y) determined by the equation x / z = lnz / y

Find the first order partial derivative of the implicit function z = Z (x, y) determined by the equation x / z = lnz / y


X / z = lnz / y = lnz lnyx = zlnz zlnyf (x, y, z) = x-zlnz-zlnyfx = 1fy = - Z / YFZ = - lnz - 1-lny, so AZ / AX = - FX / FZ = - 1 / (- lnz - 1-lny) = 1 / (1 + lnz + LNY) AZ / ay = - fy / FZ = - Z / Y / (- lnz - 1-lny) = Z / [y (1 + lnz + LNY)]



13 and 1 / 3 minus 3 and 3 / 4 / 16 / 5 / 14 / 9 times 3.5 plus 1 / 6 / 3 and 5 / 8


13 and 1 / 3 minus 3 and 3 / 4 / 16 / 5 / 14 / 9 times 3.5 plus 1 / 6 / 3 and 5 / 8
Equal to 40 / 3-15 / 4 △ 5 / 16x14 / 9x7 / 2 + 1 / 6 △ 29 / 8 = 40 / 3-15 / 4x16 / 5x14 / 9x7 / 2 + 1 / 6x8 / 29 = 40 / 3-196 / 3 + 4 / 87 = - 52 + 4 / 87 = - 4520 / 87



1+1+2+4+7+11+16+…… What is the general term formula of


an=an-1+(n-2)
an-an-1=n-2...
an-a1=(n-2)+(n-3)+...+0=(0+n-2)*(n-1)/2
a1=1
an=(n-1)*(n-2)/2+1



Graph represented by equation x = sin θ y = sin θ / 2 + cos θ / 2


y=sinθ/2+ cosθ/2
y²=1+2sinθ/2 cosθ/2
=1+sinθ
=1+x (|x|≤1)
therefore
A figure is part of a parabola



What is the chemical equation for the preparation of methane by heating anhydrous sodium acetate and soda lime?


CH3COONa + NaOH = Na2CO3 + CH4 (CaO as catalyst)



What is the physical quantity represented by velocity?
1. The distance that an object moves in unit time
2. Speed of movement


That's right. That's what the teacher taught. I forgot the specific reason. It's in the physics book



The logarithm of base 2 of y = LN and the domain of y = 2lnx?


The logarithm of y = ln with X as the base 2 and the domain of y = 2lnx? X > 0 and X ≠ 1 and x > O, respectively



A plane took off at 6:00 a.m. from 60 degrees east longitude to 50 degrees west longitude. It took 11 hours to find the time to land at 40 degrees west longitude?


The time is 10:20
The difference between west longitude 40 and east longitude 60 degrees is 100 degrees, which is calculated according to 1 degree and time 4 minutes,
The time difference between west longitude 40 and east longitude 60 degrees is 6 hours and 40 minutes
Learn from the East and seek the West
6: 00-6 hours and 40 minutes plus 11 hours of flight, it's 10:20



In the known sequence {an}, an = 3n-1, what are the values of the first n terms and Sn of the new sequence composed of the even terms of the sequence


The general formula of even term is
an=6n-1;
Her first n items are: 5,11,17,23 ,6n-1
Sn=n(6n-1+5)/2=n(3n+2)



Given that 1 ≤ LG (x / y) ≤ 2,2 ≤ LG (x ^ 2 / radical y) ≤ 3, find the value range of LG (x ^ 3 / cubic radical y)


If 1 ≤ LG (x / y) ≤ 2, then 10 ≤ X / Y ≤ 10010y ≤ x ≤ 100y (100y) ^ (- 5 / 9) ≤ x ^ (- 5 / 9) ≤ (10Y) ^ (- 5 / 9); (1) if 2 ≤ LG (x ^ 2 / radical y) ≤ 3, then 100 radical y ≤ x ^ 2 ≤ 1000 radical y (100 radical y) ^ (16 / 9) ≤ (x ^ 2) ^ (16 / 9) ≤ (1000 radical y) ^ (16 / 9); (2) (1) (2) multiply by 10 ^ (