How do you use the Product Rule to find the derivative of #sin(3x) cos(5x) #?
1 Answer
Explanation:
First, notice that you can write your function as a product of two functions,
#y = f(x) * g(x)#
The product rule allows you to differentiate such functions 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 have
Now, in order to differentiate these two functions, you need to use the chain rule in the form
This will get you
and
Your target derivative will thus be