How do you differentiate #f(x) = x^(5/ 2) e^x#?
Hi there! To differentiate a function in the form of
To start, the general form of the derivative of a product of two functions is:
It's important to note that the order of the multiplication doesn't matter as multiplication is commutative whereby
Let's get our derivatives of each part of the function first:
Putting it all together we get:
And that's it! To remember the general form for product rule, you can think "derivative of the first, times the second, plus derivative of the second times the first", that's how I've always remembered it!
Hopefully everything was clear! If you have any questions, feel free to ask! :)