Derivative of a summation

[Elisse456]

Hello, I had some difficulties with this problem, and I still don't know how to tackle it. Therefore I would like to know how to obtain the derivative of a summation.
Thanks!

 

[Steven G]

You use the general power rule and the product rule.

How would you compute the derivative of ( 3x^2 + 5x + ln(x))^2

Please try this and post back with your work.

 

[Elisse456]

You use the general power rule and the product rule.

How would you compute the derivative of ( 3x^2 + 5x + ln(x))^2

Please try this and post back with your work.

2(3x^2+5x+ln(x))(6x+5+1/x). I applied the chain rule between the two functions.

 

[Dr.Peterson]

2(3x^2+5x+ln(x))(6x+5+1/x). I applied the chain rule between the two functions.

Good. Now try differentiating your summation for the case m=2, to see how things work, before trying to generalize it.

It may also help if you show us the whole problem of which this is a part, so we can see, for example, what form is needed for the answer.