Differentiate using the Product Rule which states that is where and .

Differentiate using the Exponential Rule which states that is where =.

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 .

Add and .

Apply the distributive property.

Apply the distributive property.

Combine terms.

Move to the left of .

Move to the left of .

Add and .

Move .

Add and .

Add and .

Subtract from .

Add and .

Reorder the factors of .

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