product rule

[spezialize]

Hey guys. I have a problem.. trying to find the derivatives of the following..

F(y)=y^4 * e^y

would it be y^4(1)+4y^3(e^y) ??

 

[tkhunny]

(d/dy)(e^y) = (e^y) not (1). Pretty close otherwise.

 

[ryan_kidz]

F(y)=y^4 * e^y

would it be y^4(1)+4y^3(e^y) ??

(F(x)G(x))'= F(x)'*G(x)+F(x)*G(x)'
but in this problem, if u derivative e^y it would be the same e^y
so if F(y)'=y^4 * e^y
would be F(y)'=4y^3*e^y + y^4*e^y

 

[Unco]

if u derivative e^y it would be 0

Here, e^y is not a constant. d/dy (e^y) = e^y just as d/dx (e^x) = e^x.

 

[ryan_kidz]

ooh.. I see!
I'm sorry about that and thnx 4 the correction.