The Directional Derivative

  of a multivariate differentiable function along a given vector v at a given point p intuitively represents the instantaneous rate of change of the function, moving through p, in the direction of v.


Inputs


f(x,y) =
point p = (,)
vector v = <,>

 

Instructions

: Simply enter an arbitrary function of the independent variables x and y, each coordinate of a point p and each component of a vector v into the textfields above. Then press "Calculate." Be sure to declare all instances of multiplication (i.e. 2*x, not 2x) and that there are no consecutive infix operators (i.e. 2-(-x), not 2--x). Click  to view a list of functions supported by our parser.



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