Basic Mathematics20805 marksNumerical: partial derivativesPartial derivatives
Define partial derivative and find the value of fracpartial fpartial x & fracpartial fpartial y at the point (4, -5) if f(x,y) = x3 + 3xy + y - 1.
Define partial derivative and find the value of $\frac{\partial f}{\partial x}$ & $\frac{\partial f}{\partial y}$ at the point (4, -5) if $f(x,y) = x^3 + 3xy + y - 1$. [5]
- Function: $f(x, y) = x^3 + 3xy + y - 1$ - Point of evaluation: $(x, y) = (4, -5)$ - Required: $\dfrac{\partial f}{\partial x}$ and $\dfrac{\partial f}{\partial y}$ at $(4, -5)$ A partial derivative of a function $f(x, y)$ with respect to one variable is its rate of change with respect to that v...