How do you find the derivative of #g(x)=x^2+4x^3#?
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To find the derivative of ( g(x) = x^2 + 4x^3 ), you differentiate each term separately using the power rule.
The derivative of ( x^2 ) is ( 2x ), and the derivative of ( 4x^3 ) is ( 12x^2 ).
So, the derivative of ( g(x) ) is ( g'(x) = 2x + 12x^2 ).
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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.
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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