Question: Let a be a variable that is changing over time. Let b be the y-intercept of the tangent line of f(x)=x^(1/3) at x=a Observe from

Let a be a variable that is changing over time. Let b be the y-intercept of the tangent line of f(x)=x^(1/3) at x=a

Let a be a variable that is changing over time. Let b

Observe from the graph that as a increases, the tangent line will tilt so that b increases. Currently, a=1 and a is increasing at a rate of 1/4 units per second. At what rate is b changing at this instant?

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