# How do you differentiate #f(x)=(x^2+4x+6)^5#?

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To differentiate ( f(x) = (x^2 + 4x + 6)^5 ), you can use the chain rule and the power rule. The chain rule states that if you have a function inside another function, you differentiate the outer function first, then multiply by the derivative of the inner function. Applying the chain rule to this problem, the derivative of ( f(x) ) is ( 5(x^2 + 4x + 6)^4 \cdot (2x + 4) ).

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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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