Chain Rule with one independent variable Use Theorem 12.7

Chapter 11, Problem 12E

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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

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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)

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