How to solve this question? Given that: # f(x,y,z)= x^3yz^2# Find # (partial ^2f)/(partial x^2)# and #(partial^2f)/(partial y^2)#. Show that #(partial^2f)/(partial x partial y)=(partial ^2f)/(partial y partial x)# ?
Hello, I am struggling with this question. I would be thankful if you could help me solving it.
Given that: # f(x,y,z)= x^3yz^2#
Find:
# (partial ^2f)/(partial x^2)# and #(partial^2f)/(partial y^2)#
show that:
#(partial^2f)/(partial x partial y)=(partial ^2f)/(partial y partial x)#
Hello, I am struggling with this question. I would be thankful if you could help me solving it.
Given that:
Find:
show that:
1 Answer
Apr 24, 2018
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#f_(x\x)= 6x \ y \ z^2# -
#f_(y y) = 0# -
#f_(x\y)= 3x^2 \ z^2 = f_(yx)#
Explanation:
Initially, with respect to
-
#f_x= 3x^2 \ y \ z^2# -
#f_(x\x)= 6x \ y \ z^2# -
#f_(x\y)= 3x^2 \ z^2#
Initially, with respect to
-
#f_y = x^3 \ z^2# -
#f_(y y) = 0# -
#f_(yx) = 3x^2 \ z^2#
