Question

Find the derivative of :
$S=\dfrac{4}{3\pi}sin3t+\dfrac{4}{5\pi}cos5t$​

Answer 1

Answer:

I hope we have to find the velocity in this case .

$\dfrac{dS}{dt}=\dfrac{d}{dt}[\dfrac{4sin3t}{3\pi}+\dfrac{4cos5t}{5\pi}]\\\\\implies \dfrac{d}{dt}[\dfrac{20sin3t+12cos5t}{15\pi}]\\\\\implies \dfrac{60cos3t+60cos5t}{15\pi}\\\\\implies \boxed{\dfrac{4cos3t+4cos5t}{\pi}}$

Note :

$\dfrac{d}{dx}[sinx]=cosx$

$\dfrac{d}{dx}[sin(nx)]=ncos(nx)$

Answer 2

Answer:

hope it is helpful to you