How do you use the Product Rule to find the derivative of # y = 1/(1-x^2)#?
In order to differentiate this function by using the product rule, you need to find a way to write it as a product of two functions.
Notice that you can write the function as
You can now 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 the derivative of
Now, to differentiate
Your target derivative will thus be