Find the Derivative minus d First, divide dx (sin(x)) to the power of ( natural log of x)

Find the Derivative - d/dx (sin(x))^( natural log of x)
Use the properties of logarithms to Clarify the differentiation.
Should be rewritten as .
Expand by moving outside the logarithm.
Differentiate using the chain rule, which states that is where and .
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 .
Differentiate using the chain rule, which states that is where and .
To apply the Chain Rule, set as .
The derivative of with respect to is .
Replace all occurrences of with .
Convert from to .
The derivative of with respect to is .
The derivative of with respect to is .