4.11

***

Find the partial derivatives with respect to

x,y

, and

z

of the following functions: (a)

f(x,y,z)=

ay^(2)+2byz+cz^(2)

, (b)

g(x,y,z)=cos(axy^(2)z^(3))

, (c)

h(x,y,z)=ar

, where

a,b

, and

c

are constants and

r=\\\\sqrt(x^(2)+y^(2)+z^(2))

. Remember that to evaluate

del(f)/(d)elx

you differentiate with respect to

x

treating

y

and

z

as constants.

4.11 Find the partial derivatives with respect to x,y, and z of the following functions: (a) f(x,y,z)= ay2+2byz+cz2, (b) g(x,y,z)=cos(axy2z3), (c) h(x,y,z)=ar, where a,b, and c are constants and r=x2+y2+z2. Remember that to evaluate f/x you differentiate with respect to x treating y and z as constants. 4.11 Find the partial derivatives with respect to x,y, and z of the following functions: (a) f(x,y,z)= ay2+2byz+cz2, (b) g(x,y,z)=cos(axy2z3), (c) h(x,y,z)=ar, where a,b, and c are constants and r=x2+y2+z2. Remember that to evaluate f/x you differentiate with respect to x treating y and z as constants