Explanation Given information: The function is f ( s , t ) = sin s cos 2 t . Explanation: The partial derivative of the function f ( s , t ) with respect to s is the derivative of function f ( s , t ) with respect to s treating t as a constant. Therefore, ∂ f ∂ s = ∂ ∂ s ( sin s cos 2 t ) = cos 2 t ∂ ( sin s ) ∂ s = cos 2 t cos s ⇒ ∂ f ∂ s = cos s cos 2 t . Similarly, the partial derivative of the function f ( s , t ) with respect to t is the derivative of the function f ( s , t ) with respect to t treating s as a constant

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Author: Larry Goldstein, David Lay

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Chapter 8, Problem 45RE

To determine

The partial derivatives ∂f∂s and ∂f∂t, where the function is f(s,t)=sins cos2t.

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Chapter 8, Problem 44RE

Chapter 8, Problem 46RE

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Ch. 8.1 - A right triangle has one angle of /3 radians. What...Ch. 8.1 - Prob. 2CYU Ch. 8.1 - Prob. 1E Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Give the radian measure of each angle described.Ch. 8.1 - Prob. 6E Ch. 8.1 - Prob. 7E Ch. 8.1 - Prob. 8E

Ch. 8.1 - Prob. 9E Ch. 8.1 - Prob. 10E Ch. 8.1 - Prob. 11E Ch. 8.1 - Prob. 12E Ch. 8.1 - Prob. 13E Ch. 8.1 - Prob. 14E Ch. 8.1 - Prob. 15E Ch. 8.1 - Prob. 16E Ch. 8.1 - Prob. 17E Ch. 8.1 - Prob. 18E Ch. 8.2 - Find cost, where t is the radian measure of the...Ch. 8.2 - Prob. 2CYU Ch. 8.2 - Prob. 1E Ch. 8.2 - Prob. 2E Ch. 8.2 - Prob. 3E Ch. 8.2 - Prob. 4E Ch. 8.2 - In Exercises 112, give the values of sint and...Ch. 8.2 - Prob. 6E Ch. 8.2 - Prob. 7E Ch. 8.2 - Prob. 8E Ch. 8.2 - Prob. 9E Ch. 8.2 - Prob. 10E Ch. 8.2 - Prob. 11E Ch. 8.2 - Prob. 12E Ch. 8.2 - Prob. 13E Ch. 8.2 - Prob. 14E Ch. 8.2 - Prob. 15E Ch. 8.2 - Prob. 16E Ch. 8.2 - Prob. 17E Ch. 8.2 - Prob. 18E Ch. 8.2 - Prob. 19E Ch. 8.2 - Prob. 20E Ch. 8.2 - Prob. 21E Ch. 8.2 - Prob. 22E Ch. 8.2 - Prob. 23E Ch. 8.2 - Prob. 24E Ch. 8.2 - Prob. 25E Ch. 8.2 - Prob. 26E Ch. 8.2 - Prob. 27E Ch. 8.2 - Prob. 28E Ch. 8.2 - Prob. 29E Ch. 8.2 - Prob. 30E Ch. 8.2 - Prob. 31E Ch. 8.2 - Prob. 32E Ch. 8.2 - Prob. 33E Ch. 8.2 - Prob. 34E Ch. 8.2 - 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[ Hint: Use identity...Ch. 8 - Prob. 78RE Ch. 8 - Prob. 79RE Ch. 8 - Prob. 80RE

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The partial derivatives ∂ f ∂ s and ∂ f ∂ t , where the function is f ( s , t ) = sin s cos 2 t .

Solution Summary: The author explains the partial derivatives of the function f(s,t)=mathrmsin

The partial derivatives ∂f∂s and ∂f∂t, where the function is f(s,t)=sins cos2t.

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Chapter 8 Solutions