I need help with Find the derivative. Assume that I and R are functions of t.

[Dr_fox]

d/dt(IR^2) first i use the chain rule and got 2R(I,t)d/dt(R(I,t) then took the derivative of R(I,t) wich is I2R(I,t)d/dt(R

 

[Deleted member 4993]

d/dt(IR^2) first i use the chain rule and got 2R(I,t)d/dt(R(I,t) then took the derivative of R(I,t) wich is I2R(I,t)d/dt(R

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[HallsofIvy]

d/dt(IR^2) first i use the chain rule and got 2R(I,t)d/dt(R(I,t) then took the derivative of R(I,t) wich is I2R(I,t)d/dt(R

FIRST use the product rule, then use the chain rule. Also you say that "R is a function of t" but repeatedly write "R(I, t)", making it look like R is a function of both I and t. It isn't- R^2 is simply multiplied by I.

\(\displaystyle \frac{dIR^2}{dt}=\frac{dI}{dt}R^2+ I\frac{dR^2}{dt}\)
\(\displaystyle = \frac{dI}{dt}R^2+2IR\frac{dR}{dt}\).