Find the indicated partial derivative.
u=xaybzc
∂6u∂x∂y2∂z3=
Higher Order Partial Derivatives
If f(x,y,z)
is a function of several variables, then we can find higher order partials in the following manner:
For
∂3f∂x∂y2
we find the derivative by taking the partial derivative of the function with respect to y
twice, then take the partial derivative with respect to x
.
In this manner we can find nth-order partial derivatives of a function.