How do you differentiate #f(x)= (x + 7)^10 (x^2 + 2)^7 # using the product rule?
1 Answer
Product Rule:
If we have two functions
Chain Rule:
If we have two functions,
Original Equation:
Use the chain rule to find the derivative of the first equation:
Now multiply by the second function:
Next, use the chain rule to find the derivative of the second equation:
Multiply by the first function:
Add together the two multiplied functions:
Factor out
Multiply and combine like terms for the factored section:
Put back the factors.
Your final answer should be: