# How do you find #(d^2y)/(dx^2)# for #5x^2=5y^2+4#?

# d^(2y)/(dx^2) = -4/(5y^3) #

To find the second derivative we need to differentiate a second time again implicitly and using the product rule:

so we have

Hence,

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To find (\frac{{d^2y}}{{dx^2}}) for (5x^2 = 5y^2 + 4), first, rewrite the equation in terms of (y). Then differentiate implicitly twice with respect to (x). After differentiation, solve for (\frac{{d^2y}}{{dx^2}}). The solution involves the chain rule and implicit differentiation.

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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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