SOLUTION: Differentiate(2x+5)^2 (x-4) with respect to x

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Differentiate(2x+5)^2 (x-4) with respect to x      Log On


   



Question 1142484: Differentiate(2x+5)^2 (x-4) with respect to x
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Differentiate (2x+5)^2*(x-4) with respect to x
-----------
The Chain Rule:
--> 2*(2x+5)*2*(x-4) + (2x+5)^2*x
---
Might be "simplified" some.

Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.

I came to show you how to do it correctly:


You should apply first the rule of differentiating a product


      (uv)' = u'*v + u*v'


and then apply the chain differentiating rule :


      d%2F%28dx%29 ((2x+5)^2*(x-4)) =  2*(2x+5)*2*(x-4) + (2x+5)^2.   ANSWER


I mean :  the  correct  answer.