Question

I have the answer can someone please check me...
Find the derivative
p(x)=10x^2sin(10x)

Answer 1

this isi the equation for the question\[p(x)=10x^2\sin(10x)\]

Answer 2

product plus chain rule

Answer 3

\((fg)]=f'g+g'f\) with
\(f(x)=x^2,f'(x)=2x,g(x)=\sin(10x),g'(x)=10\cos(x)\)

Answer 4

damn i meant \(g'(x)=10\sin(10x)\)

Answer 5

and factor that first ten out of the whole thing

Answer 6

I got 20xsin(10x)+100x^2cos(10x)

Answer 7

looks good to me

Answer 8

ok thanks

Answer 9

if you want to be fancy you can factor \(20x\) out of both terms