how do you know when a problem needs you to take the derivative of an equation in physics?
When an equation is given and its rate of change with respect to anything is to be found, then it means it needs you to take the derivative of that equation in physics. Eg. when Velocity is given as f(x) and acceleration (which is the rate of change of velocity with repect to time) is to be found, then differentiate as df(x)/dt; when electric potential is given as f(x) and electric field (which is the negative rate of change of electric potential with repect to distance) is to be found, then differentiate as -df(x)/dr.
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