(a) Let z(x,y)=e^3xy,x(p,q)=p/q and y(p,q)=q/p are functions. Use multivariable chain rule of partial derivatives to find (i) ∂z/∂p (ii) ∂z/∂q.
(a) Let z(x,y)=e^3xy,x(p,q)=p/q and y(p,q)=q/p are functions. Use multivariable chain rule of partial derivatives to find (i) ∂z/∂p (ii) ∂z/∂q.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(a) Let z(x,y)=e^3xy,x(p,q)=p/q and y(p,q)=q/p are functions. Use multivariable chain rule of partial derivatives to find
(i) ∂z/∂p
(ii) ∂z/∂q.
(b) Find the directional derivative of the function g(x,y ,z)= y-√(x^2+z^2 ) at the point
P(-3, 1, 4) in the direction of
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