Question

differentiate: xsin(x)cos(x)

Answer 1

double product rule?

Answer 2

Hmm yes you could do it that way, product rule with 3 terms.
Might be easier to use the double angle formula for sine. So you can get rid of one of the trig terms.

Answer 3

is the answer -x(cosxsinx)?

Answer 4

Hmm I don't think so.. not sure where you're getting that from D: Unless you did some simplification that I'm not seeing quite yet.
Start with this:
\[\sin x \cos x=\frac{ 1 }{ 2 } \sin 2x\]
Double Angle formula for Sine.

Answer 5

how did you get the sin2x?

Answer 6

Double Angle formula for Sine.

Answer 7

is it (1/2) +xcos(2x)+(1/2)cos(2x)-(sinx)^2+(cosx)^2

Answer 8

<:o

Answer 9

Kat just look up the double angle formulas if you're not sure where it came from :3
it'll simplify your problem very nicely.
\[\large x( \sin x \cos x)=\frac{ 1 }{ 2 }x \sin 2x\]
This is much easier to differentiate.

Answer 10

ok i understand it now. thanks!