Question

find the derivative of 10xsinx

Answer 1

product rule. DAT SIT

Answer 2

hope it helps

Answer 3

\(\Large\color{blue}{ \bf \frac{d }{dx}(~~ 10x~sin(x) ~~)= }\)

applying the product rule,

\(\large\color{blue}{ \bf \frac{d }{dx} (~10x~)~~sin(x) +\frac{d }{dx} (~sin(x)~)~~10x }\)

applying the power rule,

\(\large\color{blue}{ \bf 10~~sin(x) +cos(x)~~10x }\)

and there is the answer,

\(\large\color{blue}{ \bf 10~~sin(x) +10~x~cos(x) }\)

or in alternative form,

\(\large\color{blue}{ \bf 10~(~sin(x) +~x~cos(x)~~) }\)