# What is the derivative of #sin(2x)#?

I would use the Chain Rule:

First derive

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The key realization is that we have a composite function, which can be differentiated with the help of the Chain Rule

We essentially have a composite function

We know all of the values we need to plug in, so let's do that. We get

Hope this helps!

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The derivative of sin(2x) is cos(2x) * 2.

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The derivative of ( \sin(2x) ) with respect to ( x ) is ( 2\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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