# How do you find the derivative of #f(x) = x + x^(1/2)#?

The power rule is important to understand in this situation as it stipulates that

We can distinguish between each term separately:

When the power rule is used on each of these, the results are:

Simplify.

This could alternatively be written as

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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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- How do you differentiate #f(x) =x^3sqrt(2x+1) # using the product rule?
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- How do you differentiate #f(x)= (x-e^(x))/(2-3x)# using the quotient rule?

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