19
edits
Changes
Jump to navigation
Jump to search
Line 11:
Line 11: + + + + + + + + + + +
no edit summary
<math> \frac {d}{dt}(f(x(t), y(t))) = \frac{\partial f}{dx}\times \frac{dx}{dt} + \frac{\partial f}{dy}\times \frac{dy}{dt} </math>
<math> \frac {d}{dt}(f(x(t), y(t))) = \frac{\partial f}{dx}\times \frac{dx}{dt} + \frac{\partial f}{dy}\times \frac{dy}{dt} </math>
or in vector notation:
<math> \nabla f \cdot \frac {dr}{dt} </math>
where r is the vector function
<math> r = <x(t), y(t), z(t) ... > </math>
The function r is sometimes called the ''path'' of the particle.
[[category:Calculus]]
[[category:Calculus]]
[[category:differentiation]]
[[category:differentiation]]