Solution Found!
Chain Rule with one independent variable Use Theorem 12.7
Chapter 11, Problem 12E(choose chapter or problem)
QUESTION:
Chain Rule with one independent variable Use Theorem 12.7 to find the following derivatives. When feasible, express your answer in terms of the independent variable.
dQ/dt, where \(Q=\sqrt{x^{2}+y^{2}+z^{2}}), x = sin t, y= cos t, and z =cos t
Questions & Answers
QUESTION:
Chain Rule with one independent variable Use Theorem 12.7 to find the following derivatives. When feasible, express your answer in terms of the independent variable.
dQ/dt, where \(Q=\sqrt{x^{2}+y^{2}+z^{2}}), x = sin t, y= cos t, and z =cos t
ANSWER:Solution 12EStep 1 :Given Q = x = sint , y = cost , z = cost = + + ……………(1)