# Find the Derivative minus d divide dx y equals five x to the power of two e to the power of(three x)

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

Differentiate using the Product 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 .

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

Move to the left of .

Differentiate using the Power Rule which states that is where .

Multiply by .

Differentiate using the Power Rule which states that is where .

Move to the left of .

Apply the distributive property.

Combine terms.

Multiply by .

Multiply by .

Reorder terms.

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