Thread: Hard but Easy Implicit Differentiation Related Rate Composite Function

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?
Danke schön!

Originally Posted by r2d2

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?
Danke schön!

Yes, that is correct.

so