WebJun 29, 2024 · For $f(x,y)$, the derivative with respect to $x$, is $\frac{df}{dx}$ and the derivative with respect to $y$ is $\frac{df}{dy}$. So if we let $$ f(x,y) = x + y^2 \\ … WebPrimes denote derivatives with respect to x. y′ = (49x+y)2 The general solution is y(x)= Find a general solution of the differential equation. The prime denotes a derivative with respect to x. xy′ + 10y = 5xy56 y(x)= Previous question …

Solved Find the derivative of \( y \) with respect to - Chegg

Webd/dx is just like a operator of differentiation. d (y)/dx will mean taking the derivative of y with respect to x. The d is for delta or difference so basically it means a change in y with a change in x which gives the derivative or the instantaneous slope at a point. 2 comments ( 24 votes) Upvote Downvote Flag more Show more... Mohamad Harith Webdy/dx is said to be taking the derivative of y with respect to x (sort of like 'solve for y in terms of x' - type terminology). So dy/dt would be taking the derivative of y with respect … how do stick diffusers work

Partial derivatives, introduction (video) Khan Academy

WebIf f(x,y) is a function of two variables, then ∂ ∂x f(x,y) is defined as the derivative of the function g(x) = f(x,y), where y is considered a constant. It is called partial derivative of f … Weby=sqrt (x) Take the derivative of both sides (note that we are taking dy/dt, not dy/dx, because we are taking the derivative in terms of t as the question calls for): dy/dt = (1/2 x^ (-1/2)) (12) where (1/2 x^ (-1/2)) is dy/dx and 12 is, as given, dx/dt. When dy/dx is multiplied with dx/dt, we get dy/dt. WebMay 1, 2011 · d/dx means to take the derivative of whatever's after it with respect to x. For example: d/dx (y), would mean to take the derivative of y with respect to x. dy/dx … how much should a good skateboard cost