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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Differenation operators

**Physics Forums | Science Articles, Homework Help, Discussion**