2 12. f (x) = (1tsinx) Cosx

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A: The solution is given in the next step.

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A: Directional Derivative, Du f(x,y,z) = ∇f(x,y,z).u ; where , u is the unit vector  .

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Q: III. Derive the following HCA 1. The unity rule: = 18 dx du dx 2. The quotient rule: xp dx

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Q: Solve for the derivative of the function using chain rule. 9. f(x)= esinx

A:   Solve for the derivative of the function using chain rule. 9. f(x)= esinx  

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Q: Use any appropriate method in finding the indicated solution of the following differential equations...

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