# How do you find the derivative of #18lnx+x^2+5#?

Through the sum rule, to find this function's derivative, add each part's derivative to one another:

Thus, we just need to find the derivative of each part:

Through the power rule, we see that

Thus, the function's derivative is

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To find the derivative of (18 \ln(x) + x^2 + 5), you apply the rules of differentiation.

The derivative of (18 \ln(x)) is (\frac{18}{x}) by the derivative of natural logarithm rule.

The derivative of (x^2) is (2x) by the power rule.

The derivative of a constant, such as (5), is (0).

So, putting it all together, the derivative of (18 \ln(x) + x^2 + 5) is (\frac{18}{x} + 2x).

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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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