In this case we are holding x constant, but what is happening to r? How can i hold r constant if it is connected to theta? Do I hold theta constant as well?
Homework Statement
Find the partial of z with respect to x keeping r constant.
Homework Equations
z=x2+y2
x= rcos(t)
y= rsin(t)
The Attempt at a Solution= r^2(cos(t))^2 + r^2(sin(t))^2
use product rule on "x" and hold r and y constant
= [0(cos(t))^2 + r^2(2cos(t))(-sin(t)))] + 0...