How do you use the Product Rule to find the derivative of 3x(2x-1)^3?
1 Answer
Explanation:
To be able to use the product rule to differentiate this function, you need to write it as a product of two other functions, let's say
y = f(x) * g(x)
This will allow you to use the formula
color(blue)(d/dx(y) = [d/dx(f(x))] * g(x) + f(x) * d/dx(g(x)))
In your case, you have
This means that you can write
To calculate
Your target derivative will thus be
This can be further simplified to