Hey. Im pretty confused on how to use differentation operators (dy/dx,d/dx), what does it mean in equations and how do I know when it means i should find the derivative of something. Word problems are confusing me on how to use these and when to find derivatives. I always thought differentation operators mean find the derivative.(adsbygoogle = window.adsbygoogle || []).push({});

Like to find velocity, i get it by v=dx/dt of the position a function. And finding the derivative of the position function gives me the velocity function.

s(position)=(t^3)-(6t^2)+9t

so to find V, I:

v=(ds/dt)=3t^2-12t+9

But in another example, even though i have differentation operators, i dont seem to need to find the derivative...

V=5.3/P, where v is volume and p is pressure. Find the rate of change of V with respect to P when P is 50 kpa.

(dv/dp)=-5.3/(p^2)

=-5.3/25000=-0.00212

Sorry if i'm unclear. Basically I guess, i'm asking how to use differentation operators and when i should find the derivative when they are present in an equation.

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# Differenation operators

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