# How do you find the derivative of #y=5/(2x^2)#?

We must use the pwer rule:

Now applying the rule:

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To find the derivative of the function y = 5/(2x^2), you can use the power rule for differentiation, which states that the derivative of x^n with respect to x is nx^(n-1).

Applying this rule to the function y = 5/(2x^2), first, you can rewrite it as y = 5 * (2x^(-2)). Then, applying the power rule, you get:

dy/dx = 5 * (-2) * (2x)^(-2-1) = -10x^(-3)

Simplifying further, you get:

dy/dx = -10/(x^3)

So, the derivative of y = 5/(2x^2) with respect to x is dy/dx = -10/(x^3).

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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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