2.J Evaluate the portial derivatives dz/dx, dz/dy for the given function at the indicated points. aj z = √√₁²-x²-y² , (0, 0), (0/2, 0/2) b.j 2= log √ + xy ; (1, 2), (0,0) (.) 2= cºx cos (bx x+y); (2π/6₁0)

Q: 1.4 Use implicit differentiation method to find day of the function d²y dx² 1 + (xy)² = cot−¹(x y)…

A: Explanation:Product ruleQuotient ruleChain rule Power rule1.4) Given,differentiate  with respect to…

Q: Find dy/dx using implicit differentiation at (0, -2) if x³ - xy + y² = 4.

A: option 3 is correct

Q: 4. At what point on the graph of y = x² is the tangent line parallel to the line 2 e line 2x - 4y =…

A: Note: as per guidelines we support only first question in first request.

Q: 4. Write a script which uses finite difference approximations to compute the first derivative dy/dx…

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Q: Find the indicated derivative. In this case, the independent variable is a (unspecified)…

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Q: Q 7. Is cos x| differentiable in (-oo, oo). If so find its derivative. If not, is it differentiable…

A: Let us begin with plotting the graph for |cos x|.

Q: Find the derivative y = 0 [ 10 O A. O B. OC. O D. D. cos √t dt 10x⁹ cos (x5) 9 - sin (x5) - 1 dy dx…

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Q: Find the first and second derivative for the following functions. 1. y =tan(x) 2. Y = 3(x²-4)5 no…

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Q: 2x + 2y %3D 1. Use implicit differentiation to find dy/dx for ey

A: GIVEN ex2y =2x+2y

Q: 2. Find the derivative of the function. y = e* In (sinæ)

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Q: 1. a) Copy and complete the table below: Original Function First derivative Second Derivative y =…

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Q: Use logarithmic differentiation to find the derivative of y with respect to the independent…

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