Solving for dy/dx with 3 Products y=uvw

  • Thread starter gtfitzpatrick
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In summary, the formula for solving for dy/dx with 3 products y=uvw is dy/dx = u(dv/dx)(dw/dx) + v(du/dx)(dw/dx) + w(du/dx)(dv/dx). To find the derivative of each product in the formula, you can use the product rule. Other methods for solving for dy/dx with 3 products include using logarithmic differentiation or implicit differentiation, but the product rule is the most commonly used and efficient method. This formula is specifically for equations with 3 products, and it can also be used for finding higher order derivatives by using the product rule multiple times.
  • #1
gtfitzpatrick
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if i have 3 products y=uvw is dy/dx = (du/dx)vw + (dv/dx)uw + (dw/dx)uv?
 
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  • #2
yes..
 
  • #3
thanks a mill
 

1. What is the formula for solving for dy/dx with 3 products y=uvw?

The formula for solving for dy/dx with 3 products y=uvw is dy/dx = u(dv/dx)(dw/dx) + v(du/dx)(dw/dx) + w(du/dx)(dv/dx).

2. How do you find the derivative of each product in the formula?

To find the derivative of each product in the formula, you can use the product rule which states that d(uv)/dx = u(dv/dx) + v(du/dx). You will use this rule for each product in the formula and then plug them into the formula for solving for dy/dx with 3 products.

3. Are there any other methods for solving for dy/dx with 3 products?

Yes, there are other methods for solving for dy/dx with 3 products such as using logarithmic differentiation or implicit differentiation. However, the method using the product rule is the most commonly used and efficient method.

4. Can I use this formula for any equation with 3 products?

No, this formula is specifically for solving for dy/dx when there are 3 products in the equation. If there are more or less than 3 products, you will need to use a different formula or method.

5. Can I use this formula for finding higher order derivatives?

Yes, you can use this formula for finding higher order derivatives. You will just need to use the product rule multiple times depending on the order of the derivative you are trying to find. For example, if you are finding the second derivative, you will use the product rule twice.

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