# How do you differentiate #y= x^(11cosx)#?

Now take the derivative on both sides. On the left, we'll need the chain rule. On the right, we'll use the product rule.

Solving for the derivative:

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To differentiate the function ( y = x^{11\cos(x)} ), you can use the chain rule. The derivative is ( y' = x^{11\cos(x)} \left( 11\cos(x) \ln(x) - \frac{11\sin(x)}{x} \right) ).

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