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Use implicit differentiation to determine

dy / dx for 7xeY + 3x^3 = 5y^4 show work.
Here are the choices

(a) dy / dx = 7xeY + 9x^2 / 20y^3 - 7eY

(b) dy /dx = 7eY + 9x^2 / 20y^3 + 7xeY

(c) dy /dx = 7xeY - 9x^2 / 20y^3 + 7eY

(d) dy /dx = 7eY + 9x^2 / 20y^3 - 7xeY

2006-06-28 08:37:02 · 6 answers · asked by good_but_naughty_gal 1 in Science & Mathematics Mathematics

6 answers

I assume that you meant for 7xeY + 3x^3 = 5y^4 to mean 7xe^y + 3x^3 = 5y^4.

We now take dy/dx of both sides:
D(7x)e^y + D(e^y)7x + D(3x^3) = D(5y^4). D refers to the derivative.
Thus we get 7e^y + 7xe^yy' + 9x^2 = 20y^3y'.
Simplify this to be 7e^y + 9x^2 = 20y^3y' - 7xe^yy' .
Now factor out the y': 7e^y + 9x^2 = y'(20y^3 - 7xe^y).

Solve for y': The final answer is (7e^y + 9x^2)/(20y^3 - 7xe^y). This is choice d.

Make sure to use proper parentheses.

2006-06-28 10:01:25 · answer #1 · answered by Jeff U 4 · 0 0

BEFORE YOU ANSWER THIS SILLY LITTLE GIRLS QUESTION MAYBE YOU SHOULD READ HER REPLY TO ME WHERE I ASKED HER WHY SHE CHEATED:
Message: Do you really think i do not check who gives me the wrong answers. I know because when 30 or so people give the same answer and show their work. I know the answer is right because i look at their work step by step and see what makes more sense. So far i have been getting 100% on my take home quiz. As long as i pass i don't give a ****. In case you come from planet Mars..let me officially welcome you to earth, where most people who are sitting on top of the world cheat. Most successes are not honest. On earth my dear especially this day and age even the leaders of the world lie and cheat. what do you expect me to do? I will keep on doing it for that grade A.

Note: i also cheat on exams because the guy who sits next to me gives me answers. So far my average is 98%. Keep up with your honesty in everything you do and see how far it takes you.

There is not One successful person in the world who has not cheated, no matter what they say. Honesty is just a word game. Those who practice it are always second best in everything. survival kit-- try to lie or cheat you will love the benefits of it.

2006-06-29 11:46:01 · answer #2 · answered by Anonymous · 0 0

trying to get other people to do your homework eh? Then how are you supposed to pass the test. There will be some college classes you won't be able to cheat in, unless you come up with sophisticated methods like the ones rolling around in my head (but of course will never use).

2006-06-28 15:40:48 · answer #3 · answered by Einsteininium 4 · 0 0

YOU ARE A CHEATER!!! You won't pass the test if you cheat! This may dramatically decrease your grades if you cheat, depending on what test it is! There isn't any school open right now, so is this for summer school?

2006-06-28 16:59:16 · answer #4 · answered by cory2107 5 · 0 0

What is eY supposed to be? That would help. If Y = const, then none of the above is the answer. If Y = Y(y), then you need to define that func. If Y = y, and eY = exp(y), you can figure it out.

2006-06-28 16:07:02 · answer #5 · answered by Karman V 3 · 0 0

d

2006-06-28 15:44:17 · answer #6 · answered by bellerophon 6 · 0 0

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