# Question: Find the partial derivatives of the following functions

Find the partial derivatives of the following functions:

a. f(x,y,z)=xy

b. f(x,y,z)=z

c. f(x,y)=sin (xsin (y))

d. f(x,y,z)= sin (x sin (y sin(z)))

e. f(x,y,z)=xy2

f. f(x,y,z)=xy=z

g. f(x,y,z)=(x +y)2

h. f(x,y)= sin(xy)

i. f(x,y)= (sin (xy)) cos(3)

a. f(x,y,z)=xy

b. f(x,y,z)=z

c. f(x,y)=sin (xsin (y))

d. f(x,y,z)= sin (x sin (y sin(z)))

e. f(x,y,z)=xy2

f. f(x,y,z)=xy=z

g. f(x,y,z)=(x +y)2

h. f(x,y)= sin(xy)

i. f(x,y)= (sin (xy)) cos(3)

**View Solution:**## Answer to relevant Questions

Find the partial derivatives of the following functions (where g: R →R is continuous): (a) f(x,y ) = fx+ y g (b) f(x,y ) =fx g (c) f(x,y ) =f xy g (d) f(x,y ) =f(fyg)gFind the partial derivatives of f in terms of the derivatives of g and h ifShow that the continuity of D1 f j at a may be eliminated from the hypothesis of Theorem 2-8.Use the function f : R → R defined by f (x) = { x/2 + x2 sin (1/x) x ≠ 0, 0 x = 0.What is Bauhaus? Explain- form follows function- in the architecture presented by Frank Lloyd Wright and Le Corbusier (figs. 32.22 & 32.23 & 32.25).Post your question