# What is the derivative of this function #e ^ sin (2x)#?

and similary:

and finally:

Putting it together:

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Apply the chain rule, which states that,

Now, we go back to the original derivative.

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The derivative of the function (e^{\sin(2x)}) with respect to (x) is (2e^{\sin(2x)} \cos(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.

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