Find the Derivative – d/dx y=x^(cos(h(x)))

Math
Use the properties of logarithms to simplify the differentiation.
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Rewrite as .
Expand by moving outside the logarithm.
Differentiate using the chain rule, which states that is where and .
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To apply the Chain Rule, set as .
Differentiate using the Exponential Rule which states that is where =.
Replace all occurrences of with .
Differentiate using the Product Rule which states that is where and .
The derivative of with respect to is .
Combine and .
The derivative of with respect to is .
Simplify.
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Apply the distributive property.
Combine and .
Reorder terms.
Find the Derivative – d/dx y=x^(cos(h(x)))

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