I have this function: g(x) = (x^2-2x)e^x

I attempted to differentiate using the product rule: (x^2-2x)e^x + e^x(2x-2). I don't think that this is right. I used the differentiation function on my TI-89 calculator and the calculator thinks the derivative of g(x) is (x^2-2)e^x

I'm likely misunderstanding some simple concept! Any suggestions?

Thank you

 

Expand (write out the terms and simplify)the term that you calculated. The (e^x)2x term will cancel out. You will get the same result as the calculator.

 

that answer is correct and same as what you got from calculator, it is just that calculator combined the terms.

 

calculator simplified the results!