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Thread: Chain Rule

  1. #1
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    Chain Rule

    Could someone kindly help me with this question?

    The price P of an electronic component is known to be: P(c) = 2c - 18/c where c is the manufacturer's cost to produce it. The cost c is a function time t according to c(t) = 9 + 3/t Determine the rate of change of price with respect to time (dP/dt) at time t = 3 years.
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  2. #2
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    Re: Chain Rule

    $\dfrac{dP}{dt} = \dfrac{dP}{dc}\dfrac{dc}{dt}$

    the rest should be pretty straightforward.
    Thanks from Cervesa and topsquark
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