How do you find #(dy)/(dx)# given #3y^3+2=2x#?
Use implicit differentiation
If you want, we can solve and plug in for y using the given equation and simplifying:
Now plug this in for y and simplify.
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To find (dy)/(dx) given the equation 3y^3 + 2 = 2x:
- Differentiate both sides of the equation with respect to x.
- Use implicit differentiation.
- Solve for (dy)/(dx).
The result is: (dy)/(dx) = (2/3)/(y^2)
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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