# Find the Derivative – d/dx (8x^2-16x+16)e^x

Differentiate using the Product Rule which states that is where and .
Differentiate using the Exponential Rule which states that is where =.
Differentiate.
By the Sum Rule, the derivative of with respect to is .
Since is constant with respect to , the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Multiply by .
Since is constant with respect to , the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Multiply by .
Since is constant with respect to , the derivative of with respect to is .
Simplify.
Apply the distributive property.
Apply the distributive property.
Combine terms.
Move to the left of .
Move to the left of .
Move .
Subtract from .
Reorder the factors of .
Find the Derivative – d/dx (8x^2-16x+16)e^x

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