For the following sets of variables, find all the relevant second derivatives. In all cases, first find general expressions for the second derivatives and then substitute variables at the last step.
For the following sets of variables, find all the relevant second derivatives. In all cases, first find general expressions for the second derivatives and then substitute variables at the last step.
Step 1
Given function is
The all relevant second derivatives are
Step 2
Find partial derivative with respect to x for the function
Find partial derivative with respect to y for the function
Differentiate function
Substitute
Differentiate function
Substitute x=st in
Differentiate function
Substitute
Differentiate function
Substitute
Step 3
Therefore, all relevant second derivatives of function
Answer is given below (on video)