# How do you find the derivative of #(ln(sin(2x)))^2#?

Chain rule!

simplify

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To find the derivative of ( (\ln(\sin(2x)))^2 ), you can use the chain rule and the power rule for differentiation. First, differentiate the outer function ( u^2 ), where ( u = \ln(\sin(2x)) ), then multiply by the derivative of the inner function ( \ln(\sin(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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