Rewrite as .

Expand by moving outside the logarithm.

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 .

Apply the distributive property.

Combine and .

Reorder terms.

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