# How do you differentiate #y = x^3*2^x#?

Take Natural logs:

Differentiate Implicitly:

You could also use the product rule

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To differentiate ( y = x^3 \times 2^x ), you can use the product rule and the chain rule. The derivative will be:

[ y' = 3x^2 \times 2^x + x^3 \times \ln(2) \times 2^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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