what's a partial derivative?
a shitpost
>>16907559When you're trying to take the derivative of a function but you stop halfway through.
>>16907559it's like doing push ups without full range of motion
>>16907559Ask eigenchris
>>16907559why, my peanus weenus of course!
>>16907559A tensor contraction
>>16907573>>16907603>>16907615>>16907667>>16907677not funny. i have a test in 2 days, if i don't learn this stuff i WILL be expelled!!
>>16907559>>16907677A covariant derivative with vanishing connection
>>16907559you know when you have c constant in derivatives, that's regular (ordinary) derivative, the c is a number because you can find the exact positionpds are derivatives with just the line/curve but no positiont. knower
>>16907559Partial derivitive is where you skip steps to derivie something that you couldn't normally integrate.It is basically the opposite of a proof or showing your work but you get an answer that is good enough anyways. Just memorize what the textbook tells you to do.
>>16907573A derivative is a derivative. You can't say it's only a half.
>>16907677>>16907695>>16907762>>16907806And what's a half-derivative?
>>16907559rate of change of a multivariable function along a single axis.
imagine standing on a hill. the steepness of the hill depends on the angle which you view it, so there are infinite possible directional slopes. partial derivatives basically slice that hill along one axis and measure the slope in that direction only, ignoring all other axes. mathematically speaking, this is done by having a surface function (often z=f(x,y)) and taking the derivative of only one variable inside the function while leaving other variables untouched (taking derivative of all x values and ignoring y for example)
>>16907886so, if z=f(x,y), a full derivative would be the partial derivative with respect to x and the partial derivative with respect to y? am i supposed to visualize all the slope functions at the same time to get the 3-D derivative graph?
>>16907559Is like cheesecake in relation to milk. It partially derives from it.
>>16907559It's the rate of change of a function when you change one of the coordinates and keep all the other coordinates fixed
