What is the derivative of #(x^2+3)/x#?
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To find the derivative of (x^2 + 3)/x, you can use the quotient rule. The quotient rule states that if you have a function f(x) = g(x)/h(x), then the derivative of f(x) is (g'(x) * h(x) - g(x) * h'(x)) / (h(x))^2.
Using this rule, the derivative of (x^2 + 3)/x is:
((2x * x - (x^2 + 3) * 1) / x^2)
Simplify:
(2x^2 - x^2 - 3) / x^2
Simplify further:
(x^2 - 3) / x^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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