An object moves along the graph of y = f(x). At a certain point, the slope of the curve is 1/2 and the x coordinate of the object is decreasing at the rate of 3 units per second. At that point, how fast is the y-coordinate of the object changing?
This is the problem. What is that 1/2? Isn't it the rate of change of Y, since it is the slope at that point?
How would you solve it?
MIT 18.01 Single Variable Calculus (OCW)
Stacey Warren - Expert brainly.com
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The tangent at that particular point has gradient 1/2. It's the rate of change of y with respect to x, at that particular point. f'(x)=1/2 at that point.