Chain Rule

Mar 2019
1
0
United States
[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
Nov 2013
6,665
3,002
California
$\dfrac{dP}{dt} = \dfrac{dP}{dc}\dfrac{dc}{dt}$

the rest should be pretty straightforward.
 
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