Why does $\frac{d^2y}{dx^2}$ represent the second derivative?
91059
Why is $\frac{d^n}{dx^n}(y(x))$ the notation for the $n$th derivative of $y(x)$, instead of $\frac{d^n}{d^nx}(y(x))$?
110847
solution of differential equation $\left(\frac{dy}{dx}\right)^2-x\frac{dy}{dx}+y=0$
40549
How to proof the the derivative of $x^2$ is $2x$?
33691
Confusion about a particular differential form being exact?
146358
Why is there a $\frac 1 2$ in $\frac 1 2 mv^2$?
128921
Why define $(\nabla^2F)(X,Y)=\nabla_X(\nabla_YF)-(\nabla_{\nabla_XY}F)$?
146888
Derivative of function with 2 variables
17475
Find the derivative of $y= \frac{(4x^3 +8)^{\frac{1}{3}}}{(x+2)^5}$
138424
Scalar field Derivative. Real vs Complex
127390
Second derivative of a composite function
39995
Showing that partial derivatives of $f(x) = \frac{xy}{x^2+y^2}$ exist for $(x,y) \neq (0,0)$
19828
Show that $\frac{x^3}{x^2+y^2}$ is not differentiable at $(0,0)$, even though all directional derivatives exist
15287
Proving that second derivative is perpendicular to curve
93539
Why is $M\frac{dv}{dt} = v_{rel} .\frac{dm}{dt}$ correct and $(M - dm)\frac{dv}{dt} = v_{rel} .\frac{dm}{dt}$ wrong?
125026
When does order of partial derivatives matter?
31845
When not to treat dy/dx as a fraction in single-variable calculus?
27812
Understanding the differential $dx$ when doing $u$-substitution