# Chain Rule

#### miggs5434

[FONT=&amp]Could someone kindly help me with this question?[/FONT]

[FONT=&amp]The price [/FONT]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.

#### romsek

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

the rest should be pretty straightforward.

2 people