Question

differentiate the following and simplify your answer into the specified form:
g(x)=x(7sin3x+2cos3x)
Answer: g(x)=(Cx+D)sin3x+(Ex+F)cos3x with constants. Find constants C,D,E,F

Answer 1

you mean \[g'(x)=(Cx+D)\sin3x+(Ex+F)\cos3x \]

Answer 2

yes

Answer 3

let me see! i will write soon!

Answer 4

k

Answer 5

c=3 , d=7 , e=-6 , f=2

Answer 6

sorry i make a mistake!!!

Answer 7

c=-6,d=7, e=3, f=2

Answer 8

\[g'(x)=(-6x+7)\sin3x + (3x+2)\cos3x\]


\[g′(x)=(Cx+D)\sin3x+(Ex+F)\cos3x\]

compare both equations and you will get the answer.