# How do you differentiate #F(y)=(1/y^2-3/y^4)(y+5y^3)#?

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To differentiate F(y), you can use the product rule and the power rule. First, find the derivative of each term separately, then apply the product rule to combine them. The derivative of the first term is -2/y^3 + 12/y^5, and the derivative of the second term is 1 + 15y^2. Then, applying the product rule, the derivative of F(y) is (1/y^2 - 3/y^4)(1 + 15y^2) + (y + 5y^3)(-2/y^3 + 12/y^5).

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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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