## anonymous 3 years ago find dy/dx

1. anonymous

$h(w) = w ^{3}\ln(20w)$

2. anonymous

|dw:1351471283371:dw|what rule should we use?

3. anonymous

|dw:1351471516680:dw|

4. anonymous

Since we have to derivative the y, aka function of x and we have to derivative w³ln(20w) in respect of x. Apparently there is no x variable. Since we have to derivative in respect of x, we have to treat w as constant and hence the answer is zero.

5. anonymous

i know that the derivative for f is 3w^2 but i have problems deriving natural logs

6. anonymous

natural logs are easy, the derivative of a natural log is 1/(whatever was in the brackets)

7. anonymous

|dw:1351473354263:dw|

8. anonymous

@micahwood50 I believe the question was posted ignoring notation...