Given y=f(x) , at a certain point the slope of the curve is 1/2 and the x-coordinate is decreasing at the rate of 3 units/s. At that point, how fast is the y-coordinate of the object changing?
So would the problem start like this?:
dy/dt= f'(x) dx/dt
Plug in 1/2 for f'(x)
Plug in 3 units/s for dx/dt.
Would this be correct to find dy/dt?