Use the Chain Rule to find aw at w = xycos z; x = t6, y = t³, z = arccost
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Q: 2. -2 -2- 2 y=√√16-1²
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- Explain how to determine Partial derivatives for y-value ?Using the Second Derivatives Test, your task is to find all relative extrema and saddle points of the given functions. Show Complete SolutionsUse implicit differentiation with partial derivatives (as described in Example 4 page 732) to find dy/dx where it is assumed that y is a differentiable function of x. x^2y+sqrt(xy)=4 dy/dx= _________________________ (Note that your answers should be a function of x, y.)
- find second order partial derivativesHow does the relation between first partial derivatives and continuity of functions of two independent variables differ from the relation between first derivatives and continuity for real-valued functions of a single independent variable? Give an example.x² + 1 2. Let f(x) Then the derivatives are x² – 9' 60(x² + 3) (x2 – 9)3 -20x f'(x) = and f"(x) = (교2 - 9)2 (You do not have to show how to find the derivatives.) Find the following infor- mation about f. (j) Sketch a graph of f labeling all important points/lines you found above.