You aren't making a mistake. (Well, except that it should be .) The point of the assignment appears to be to make you recognize that the product of the derivatives is NOT equal to the derivative of the product.
I've answered this question but I can't get e right (I assume j'(m)*k'(m)=l'(m), but I can't make it work).
a. Calculate j'(m) and k'(m)
b. l(m)=j(m)*k(m), work out a polynomial expression for l(m).
c. Calculate l'(m)
d. Calculate j'(m)*k'(m)
e. What do you notice about your answers to parts c and d?
...
I see no corrilation, that's why I need help. I think I didn't work out a polynomial properly? If someone could explain that'd be great.
No, j'(m)*k'(m) is not the same as l'(m)
No, you've dropped a power of m. You multiplied by 3m, not .
a. Calculate j'(m) and k'(m)
b. l(m)=j(m)*k(m), work out a polynomial expression for l(m).
c. Calculate l'(m)
d. Calculate j'(m)*k'(m)
e. What do you notice about your answers to parts c and d?
...
I see no corrilation, that's why I need help. I think I didn't work out a polynomial properly? If someone could explain that'd be great.