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

Find the Derivative - d/dx y=5x^2e^(3x)
Since is constant with respect to , the derivative of with respect to is .
Differentiate using the Product Rule which states that is where and .
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.
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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 .
Simplify.
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Apply the distributive property.
Combine terms.
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Multiply by .
Multiply by .
Reorder terms.
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