derive (or diff or grad) takes two arguments : an
expression F of n real variables and a vector of these variable names.
derive returns the gradient of F,
where the gradient is the vector of all partial derivatives,
for exmple in dimension n=3
| (F)= [ |
| , |
| , |
| ] |
Example
Find the gradient of F(x,y,z)=2x2y−xz3.
Input :
^
2*y-x*z^
3,[x,y,z])Or :
^
2*y-x*z^
3,[x,y,z])Or :
^
2*y-x*z^
3,[x,y,z])Output :
^
3,2*x^
2,-(x*3*z^
2)]Output after simplification with normal(ans()) :
^
3,2*x^
2,-(3*x*z^
2)]To find the critical points of F(x,y,z)=2x2y−xz3, input :
^
2*y-x*z^
3,[x,y,z]),[x,y,z])Output :