# How do you use the product Rule to find the derivative of #(10-2x)(6-2x)(x) + x^3#?

you can find its derivative by using the formula

In your case, you have

Your target derivative will thus be

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To find the derivative using the product rule, differentiate each term separately and then sum them up. The product rule states that if you have two functions u(x) and v(x), the derivative of their product is u'(x)v(x) + u(x)v'(x). Apply this rule to each term in the expression (10-2x)(6-2x)(x) + x^3, then simplify the result.

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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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