## Related questions with answers

Question

A manufacturer of lightbulbs wants to produce bulbs that last about $700$ hours but, of course, some bulbs burn out faster than others. Let $F(t)$ be the fraction of the company's bulbs that burn out before $t$ hours, so $F(t)$ always lies between $0$ and $1$ .

What is the meaning of the derivative $r(t)=F^{\prime}(t)$ ?

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

The meaning of the derivative $r(t)=F'(t)$ is the rate at which the fraction $F(t)$ increases as $t$ increases. This is because derivative is the measure of the rate at which the value of $F'(t)$ changes with respect to the change of the variable $t$.

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