# How do you find #(dy)/(dx)# given #sqrt(3x^7+y^2)=x#?

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To find (dy)/(dx) given sqrt(3x^7+y^2) = x, you would implicitly differentiate both sides with respect to x and solve for (dy)/(dx).

The result is:

(dy)/(dx) = (-7x^6y)/(2sqrt(3x^7+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.

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