Calculus: The Language of Change

Exercise Set 18.2
Partial Differentiation Examples

by David Theobald

Exercise 1 : Finding Partials Differentials

The functions z=f[x,y] or z=f[X] are given below.  In each case, compute df/dx, df/dy,∇f[X], and the total differential.  For which values of the vector X are your answers valid?

part a

z=x(y^2) + (x^3)y

Solution of part a

explanation

sub parts - of solution - if needed

3 4 input if Math' ca comp' s

few words

part b

statement  of problem

Solution of part b

explanation

sub parts of problem b - if needed

few words

Exercise 2 : subject

Statement of whole problem if not a's, b's ...

part a

statement  of part a

Solution of part a

explanation

sub parts - of solution - if needed

3 4 input if Math' ca comp' s

few words

part b

statement  of problem

Solution of part b

explanation

sub parts of problem b - if needed

few words