Can anyone help me with this? The question asks to differentiate the following...
(x-5)^8 * (x+3)^6
The way I attempted it was to try using the product rule, but I don't get the same answer as stated in the book.
I used the chain rule to differentiate each of the two arguments, getting 8(x-5)^7 and 6(x+3)^5 respectively. At that point I attempted to use the product rule, getting:
8(x-5)^7*(x+3)^6 + (x-5)^8*6(x+3)^5
but this is not the correct answer, unless there's some algebra I'm not seeing with the answer above - I suspect I'm doing something amiss. Any help is appreciated!
I was sure the method was correct, but the answer in the exercise book is quite different. It gives the answer as .
I looked at ways of simplifying/factoring, but the was throwing me off. Do you have any idea how to get to this answer from the point where I reached? Thank you.