# Find the Derivative – d/dx (x-1)(x^2+2)^3

Differentiate using the Product Rule which states that is where and .
Differentiate using the chain rule, which states that is where and .
To apply the Chain Rule, set as .
Differentiate using the Power Rule which states that is where .
Replace all occurrences of with .
Differentiate.
Move to the left of .
By the Sum Rule, the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Since is constant with respect to , the derivative of with respect to is .
Simplify the expression.
Multiply by .
By the Sum Rule, the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Since is constant with respect to , the derivative of with respect to is .
Simplify the expression.
Multiply by .
Simplify.
Apply the distributive property.
Multiply by .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Find the Derivative – d/dx (x-1)(x^2+2)^3