How do you differentiate #(e^ (2x) - e^(-2x) ) ^ 2#?
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To differentiate the expression (e^(2x) - e^(-2x))^2, you can apply the chain rule. The derivative of the outer function, which is the square function, is 2 times the expression raised to the power of 1 (2*(e^(2x) - e^(-2x))^1). Then, you differentiate the inner function (e^(2x) - e^(-2x)) using the chain rule again.
The derivative of e^(2x) is 2e^(2x), and the derivative of e^(-2x) is -2e^(-2x).
So, the derivative of (e^(2x) - e^(-2x))^2 is:
2 * (e^(2x) - e^(-2x)) * (2e^(2x) + 2e^(-2x))
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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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