Answer by Narasimham for What is the difference between partial and normal...
In multivariate calculus when more than one independent variable $x$ comes into (competing) operation on a dependent quantity $z$ , partial derivatives come into definition. When there are two of them...
View ArticleAnswer by littleO for What is the difference between partial and normal...
Suppose $F (t) = f (x (t), y (t)) $. Then, by the chain rule,$$ F'(t) = \frac{\partial f(x(t),y(t))}{\partial x} x'(t) + \frac{\partial f(x(t),y(t))}{\partial y} y'(t).$$That is perfectly clear. The...
View ArticleAnswer by hunter for What is the difference between partial and normal...
I want to address the implicit differentiation part of your question.What are you really doing when you do implicit differentiation? When we say$$x^2 + y^2 = 1$$implies$$2x + 2y\frac{dy}{dx} = 0,$$why...
View ArticleAnswer by David K for What is the difference between partial and normal...
Some key things to remember about partial derivatives are:You need to have a function of one or more variables.You need to be very clear about what that function is.You can only take partial...
View ArticleAnswer by KeyC0de for What is the difference between partial and normal...
For a function $V(r,h)=πr^2h$ which is the volume of a cylinder of radius $r$ and height $h$, $V$ depends on two quantities, the values of $r$ and $h$, which are both variables. $V(r,h)$ is our...
View ArticleAnswer by Han de Bruijn for What is the difference between partial and normal...
The (calculus-of-variations) tag seems to be not the most popular one, so maybe it needs some more advertising (-:Intuition behind variational principleSerious. The Euler-Lagrange equations associated...
View ArticleAnswer by Gummy bears for What is the difference between partial and normal...
Partial derivative is used when the function in question is dependent on more than one variable. Consider the following function:$$y = r + s + t$$Where $r$ , $s$, $t$ are all variables. In this...
View ArticleAnswer by John_dydx for What is the difference between partial and normal...
I hope this answers your question.The partial derivative notation is used to specify the derivative of a function of more than one variable with respect to one of its variables.e.g. Let y be a function...
View ArticleWhat is the difference between partial and normal derivatives?
I have a clarifying question about this question:What is the difference between $d$ and $\partial$?I understand the idea that $\frac{d}{dx}$ is the derivative where all variables are assumed to be...
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