# How do you differentiate #y=sin(4x)#?

According to the chain rule, when we have a function inside another function, its derivative is the derivative of the outer function with the inside function still inside, all multiplied by the derivative of the inner function.

Mathematically, this becomes:

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To differentiate y = sin(4x), you would use the chain rule. The derivative of sin(u) is cos(u), and then you multiply by the derivative of the inner function, which is 4. So, the derivative of y = sin(4x) would be dy/dx = 4cos(4x).

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