answer given by MFB13 ?

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I need an answer given by MFB13

In your example of (3y^3x^4 + yx) you were supposed to find a value for dy/dx.
your answer does not show it. your answer should have been as:
dy/dx = something/(something else), where is it?

Posted 224 day ago

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Answers (5)

MFB13

I am aware that you have to eventually end up with a value for dy/dx. I just wanted to show you what rules that are involved in implicit differentiation. I did not write any true equation but just an algebraic polynomial expression to demonstrate the rules of the product rule and chain rule. If I intended to write an equation, I would had to write an "=" to some other expression then you can just factor out the dy/dx from the terms, transpose the other terms, then just solve for dy/dx using simple algebra. Sorry if I didn't know exactly what you wanted!

Posted 223 day ago

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Amar Soni

Since solution of this question cannot be written here, you may send your e-mail. I will send an attachment the solution of this question.

Posted 223 day ago

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JRami

I have worked out the problem and have it as a word document(from word journal program), but I am not able to attach it as a file. Send me an e-mail at rjramieagle@yahoo.com and I will send it to you as a word document.
JRami

Posted 223 day ago

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pecks_tutoring

For folks who didn't see the earlier answer and would like to know what dy/dx is. Implicit differentiation can be used to find dy/dx.

Let's assume the equation is 3y³x⁴ + yx = 0 (The right hand side can be any constant, ie any number, without changing the result since the derivative of a constant is 0).

The main differentiation rule used is the product rule. The derivative of the product of two functions f and g is: (f times the derivative of g) + (g times the derivative of f).

For example, the derivative of xy with resepct to x is:
x dy/dx + y * 1

Using implicit differentiation we get:

3y³*4x³ + 3*3y²(dy/dx)x⁴ + y + x dy/dx = 0

Collect the dy/dx terms and simplify:

12y³x³ + y + 9y²x⁴dy/dx + x dy/dx = 0

12y³x³ + y = - 9y²x⁴dy/dx - x dy/dx

12y³x³ + y = [ - 9y²x⁴ - x] dy/dx

[12y³x³ + y]/ [- 9y²x⁴ - x] = dy/dx

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Posted 223 day ago

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math_fanatic

We weren't solving for dy/dx. He (or she) was just showing me how to do implicit differentiation. I couldn't remember all the rules for differentiating so I asked the question. I wasn't asking for an answer to what dy/dx was. That's easy enough to find using basic algebra.

Posted 224 day ago

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