How do you use the Product Rule to find the derivative of #(7x^4 + 2x^6) sin(7x)#?
The product rule allows you to differentiate functions that take the form
#y = f(x) * g(x)#
by using the formula
#color(blue)(d/dx(y) = [d/dx(f(x))] * g(x) + f(x) * d/dx(g(x)))#
In your case, you can think of the function as being
This means that you can write
This means that your target derivative will be