Use the chain rule to find the indicated partial derivatives at p = 4,r = 3,0 = 0 and enter them into the corresponding variable: u = x² + yz, x = pr sin 0, y = pr sin 0, z = p +r. ди into u_p 1) de ди 2) into u_r dr ди 3) into u_theta

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Chain rule for partials 

Use the chain rule to find the indicated partial derivatives at p= 4, r = 3,0 = 0 and enter them into the corresponding variable:
x² + yz, x = pr sin 0, y = pr sin 0,z= p+r.
и —
du into u_p
1)
др
2)
into u_r
dr
ди
3)
into u_theta
Transcribed Image Text:Use the chain rule to find the indicated partial derivatives at p= 4, r = 3,0 = 0 and enter them into the corresponding variable: x² + yz, x = pr sin 0, y = pr sin 0,z= p+r. и — du into u_p 1) др 2) into u_r dr ди 3) into u_theta
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