Let y = y (x) be the equation x & # 710; 2E & # 710; y + Y & # 710; 2 = 1, determine the function, and find dy / DX (1,0)

Let y = y (x) be the equation x & # 710; 2E & # 710; y + Y & # 710; 2 = 1, determine the function, and find dy / DX (1,0)


x^2e^y+y^2=1
The derivation of X on both sides leads to 2xe ^ y + x ^ 2E ^ y * y '(x) + 2Y * y' (x) = 0
So y '(x) = - 2xe ^ y / (x ^ 2E ^ y + 2Y)
So dy / DX │ (1,0) = - 2 * 1 * e ^ 0 / (1 ^ 2 * e ^ 0 + 2 * 0) = - 2
If you don't understand, please hi me, I wish you a happy study!



How to spell the shortest perimeter of a figure with 12 squares with 1cm sides


Longest perimeter 26 & nbsp; & nbsp; & nbsp; shortest perimeter 14



There are eight cylindrical wooden piles in the hall to be painted. The perimeter of the bottom surface of the wooden piles is 2.5 meters and the height is 4.2 meters. One kilogram of paint can be painted for 6 square meters. How much paint does it take to paint these wooden piles?


The side area of each column: 2.5 × 4.2 = 10.5 (square meters), the surface area of 8 columns painted: 10.5 × 8 = 84 (square meters), the kilogram of paint to be used: 84 △ 6 = 14 (kilogram); a: a total of 14 kilogram of paint to be used



Adding the appropriate operation symbol in the middle of five 0.5 is equal to 2?


(0.5+0.5+0.5-0.5)÷0.5=2



X-3 = Y-2 = Z-1, seek the value of x square + y square + Z square - xy-yz-zx, seek the help of God


X square + y square + Z square - xy-yz-zx = x (X-Y) + y (Y-Z) + Z (z-x) x-3 = Y-2, X-Y = 1, Y-2 = Z-1, Y-Z = 1, so x-z = 2, z-x = - 2, X (X-Y) + y (Y-Z) + Z (z-x) = x + y-2z = (x-z) + (Y-Z) = 2 + 1 = 3



If a and B are opposite, C and D are reciprocal, and | x | = 3, then the square of a + X + B-Cd=


The square of a + X + B-Cd
=(a+b)+x²-cd
=0+3²-1
=8



How can four four be equal to six? Addition, subtraction, multiplication and division can only be used once


(4 + 4) / 4 + 4 = 6 [void]
Sorry, I didn't see it clearly



The value of function Y1 = 5x + 6 is greater than that of function y2 = 3x + 10 when the independent variable is of any value


If the value of function Y1 = 5x + 6 is greater than that of function y2 = 3x + 10, then Y1 > Y2
That is, 5x + 6 > 3x + 10
∴2x>4
∴x>2
When x > 2, the value of function Y1 = 5x + 6 is greater than that of function y2 = 3x + 10



The surface area of a cube wood block is 96 square centimeters. If you saw it into eight small cubes of equal volume, you need to block them (as shown in the figure), and the surface area of each small cube is______ Square centimeter


96 △ 6 × 14 × 6, = 16 × 14 × 6, = 24 (square centimeter), answer: the surface area of each small cube is 24 square centimeter



4.5.7.6 calculate 24 points and several more


1: 4 × (5 - 6 + 7)
2: 4 × ((5 - 6) + 7)
3: 4 × (5 - (6 - 7))
4: 4 × (5 + 7 - 6)
5: 4 × ((5 + 7) - 6)
6: 4 × (5 + (7 - 6))
7: 4 × (7 + 5 - 6)
8: 4 × ((7 + 5) - 6)
9: 4 × (7 + (5 - 6))
10: 4 × (7 - 6 + 5)
11: 4 × ((7 - 6) + 5)
12: 4 × (7 - (6 - 5))
13: (5 - 6 + 7) × 4
14: ((5 - 6) + 7) × 4
15: (5 - (6 - 7)) × 4
16: (5 + 7 - 6) × 4
17: ((5 + 7) - 6) × 4
18: (5 + (7 - 6)) × 4
19: (5 + 7) × (6 - 4)
20: (6 - 4) × (5 + 7)
21: (6 - 4) × (7 + 5)
22: (7 + 5 - 6) × 4
23: ((7 + 5) - 6) × 4
24: (7 + (5 - 6)) × 4
25: (7 + 5) × (6 - 4)
26: (7 - 6 + 5) × 4
27: ((7 - 6) + 5) × 4
28: (7 - (6 - 5)) × 4