Question: How to estimate partial derivatives using finite difference formula, step bu step? With this background, here's your assignment: You must show sufficient detail to support

 How to estimate partial derivatives using finite difference formula, step bu

How to estimate partial derivatives using finite difference formula, step bu step?

step? With this background, here's your assignment: "You must show sufficient detail

With this background, here's your assignment: "You must show sufficient detail to support your work to earn credit for your calculations. This can be hand-written work, typed calculations, or excel formulas. To avoid round-off error, retain at least six decimal places in all of your calculations. Complete all trigonometric calculations in radians. . Assume the function f is defined as f(x, y) = 3 tan x cos y . Use differentiation rules to find the exact partial derivatives " and , and evaluate those exact partial derivatives at (1.56, -2.1). . Use the finite difference formulas to estimate and a "at (1.56, -2.1) for three different values of the mesh size . h = 0.01 . h = 0.001 . h = 0.0001 . Use your calculated values to fill in this table: Estimated partial derivatives using finite difference formulas: finite difference finite difference exact exact - approx. to approx. to 0.01 0.001 9.0901 Answer the following questions: . For which partial derivative( ( or -)is the finite difference approximation consistently more accurate? Why do you think the finite difference approximation for the other partial derivative is consistently less accurate? (Hint: What happens to the tan x function near x = 1.56?), Under what real world conditions might we see such pour approximations? Upload your results using the submission instructions found below

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