# What is the derivative of #y=sin^4(x)#?

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To find the derivative of ( y = \sin^4(x) ), you can use the chain rule. First, rewrite the function as ( y = (\sin(x))^4 ). Then, differentiate it using the chain rule:

[ \frac{dy}{dx} = 4(\sin(x))^3 \cdot \cos(x) ]

So, the derivative of ( y = \sin^4(x) ) is ( 4(\sin(x))^3 \cdot \cos(x) ).

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