Derivative of implicit function x + y-e ^ x * y = 0

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• 1. Finding the derivative of implicit function y = y (x) determined by e ^ y = cos (x + y)
• 2. Finding the second derivative of implicit function (y ^ 2) x = e ^ (Y / x)
• 3. The derivative of an implicit function is known and the implicit function is solved Given (y-2xy) DX + x2dy = 0, when x = 1, y = E; find y = f (x) 2 in x2dy is the square of X
• 4. X = 3E ^ (- t), y = 2E ^ t, find the second derivative of the parametric equation
• 5. Find the derivative of the function y determined by the parametric equation {x = 1-T ^ 2, y = T-T ^ 3}
• 6. Find the first derivative of the function determined by the parametric equation {x = T-1 / T + 1, y = T & # / 1 + T} The answer I made is T & # + 2T / 2. I did this n times, but it's not the same as the answer,
• 7. The derivative of the function y = 4x ^ 2 + 1 / X is Is the derivative of 1 / X - 1?
• 8. For a project, Party A and Party B cooperate to complete five sixths of the project in six days. If they do it alone, it will take party a one-third of the time to complete and Party B one-half of the time to complete
• 9. 5.5x-1.3x=12.6                 3.85+1.5x=6.16x-0.9=4.5                    4×4.5-3x=6.33．
• 10. For a batch of goods, two fifths of them were transported in the first time, and 75 kg in the second time. A total of 65% of the total amount was transported in the two times. How many kg are there in total?
• 11. Finding the derivative of the implicit function y = y (x) determined by y = x + LNY
• 12. Finding the derivative of implicit function y to X Y ^ 2-3xy + 9 = 0 requires steps
• 13. On the derivative of implicit function X ^ 2 + y ^ 2 = 25 derivative: 2x + 2yy '= 0 question: why is the derivative of x ^ 2 2x and the derivative of Y ^ 2 2yy'? Although the examples in the book are all solved in this way, I still don't understand. Please help me explain it. Thank you
• 14. How to find the derivative of implicit function? For the derivative of the implicit function e ^ y + xy-e = 0, both sides of the equation derive from X: D / DX (e ^ y + xy-e) = e ^ y (dy / DX) + y + X (dy / DX). Why is x (dy / DX) derived from e? Shouldn't it be 0? There is another derivative from y ^ 2-2xy + 9 = 0: 2yy '- 2Y + 2XY' = 0? Why does 9 become 2XY '? Where do you get 2XY' from? I don't understand```````````````
• 15. Find the derivative of this implicit function Let y = sin (x + y), x = π, find y ' The answer in this book is - 1 / 2, how to calculate Let y = sin (x + y) determine the implicit function y = y (x), then dy = (2) How did this "2" come from? Can we do that? Y = sin (π + y) → y = - Sin y → derivation on both sides y '= - y'cosy reduces y' to cosy = - 1, but in this way, y '= cos (x + y) * (1 + y') = cos (π + y) * (1 + y ') = - cosy * (1 + y') is sorted out and y '= - cosy / (1 + cosy) is substituted into cosy = - 1, and the result is y' = 1 / O. what's wrong with this process?
• 16. Let f (x) = e ^ x-1-x-ax ^ 2 (1) if a = 0, find the monotone interval of F (x). (2) if x is greater than or equal to 0, f (x) is greater than or equal to 0 Thank you for your help Thank you for the process
• 17. On monotone function (derivative) Well, If a function is known to be an increasing function, is its derivative greater than or equal to 0 or greater than 0? Given that the function is a decreasing function, then its derivative is less than or equal to 0 or less than 0? Is the derivative of a function greater than 0 an increasing function? Is derivative less than 0 a decreasing function? Is the derivative of a function greater than or equal to 0 an increasing function? Is derivative less than or equal to 0 a decreasing function?
• 18. The relationship between monotone increasing function and derivative?
• 19. Functions with derivatives less than 0 are monotone increasing A right B wrong
• 20. ）To find the derivative, = (a ^ x) / (a ^ x-1) = 1 + 1 / (a ^ x-1) because a ^ X-1 > 0 is constant, so the derivative is greater than 0, and the function increases monotonously. I don't understand the derivative