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 .

To apply the Chain Rule, set as .

The derivative of with respect to is .

Replace all occurrences of with .

Combine and .

Since is constant with respect to , the derivative of with respect to is .

Simplify terms.

Combine and .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Differentiate using the Power Rule which states that is where .

Multiply by .

Apply the distributive property.

Combine terms.

Combine and .

Combine and .

Find the Derivative – d/dx y=x^( natural log of 4x)