Question

How do you find the derivative of `x(t)=5sint+3cost`?

Answer 1

`x'(t)=5cost-3sint`

Explanation:

Using the `color(blue)"standard derivatives for these terms"`

`color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(d/dx(sinx)=cosx , d/dx(cosx)=-sinx)color(white)(2/2)|)))`

`x(t)=5sint+3cost`

`rArrx'(t)=5cost-3sint`