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shadap
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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))^2use product rule on "x" and hold r and y constant
= [0(cos(t))^2 + r^2(2cos(t))(-sin(t)))] + 0
simplify terms
= -2r^2(cos(t)sin(t))
I am confused because to hold r constant, does that mean i hold both r and y constant?
thanks
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