# How do you find the derivative of #f(x)=(5x^6sqrt x) + (3/(x^3 sqrt x))#?

Aplying the Power Rule to both terms:

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To find the derivative of the function ( f(x) = 5x^6 \sqrt{x} + \frac{3}{x^3 \sqrt{x}} ), you can use the rules of differentiation:

- Apply the power rule to each term.
- Use the quotient rule for the second term.

After differentiating each term, the derivative of the function is:

[ f'(x) = 30x^5 \sqrt{x} + \frac{-9}{2x^4 \sqrt{x}} - \frac{3}{2x^5 \sqrt{x}} ]

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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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