Consider the function f(x) = arctan2(1 + arctan6(1 + arctan3(x))). Use the formulas f0’≈ f1-f-1/2h andf0”≈ f-1-2f0+f1/h2 for the numerical differentiation with h = 0:00001 to approximate the value f’(π/3) of the first and the value f”(π/3) of the second derivative of f at x0 = π/3. Show your work by creating a table with the values of the function f(x) of the form k xk fk ... ... ... ... ... ... ... ... ... All calculations are to be carried out in the FPA9.
Consider the function f(x) = arctan2(1 + arctan6(1 + arctan3(x))). Use the formulas f0’≈ f1-f-1/2h andf0”≈ f-1-2f0+f1/h2 for the numerical differentiation with h = 0:00001 to approximate the value f’(π/3) of the first and the value f”(π/3) of the second derivative of f at x0 = π/3. Show your work by creating a table with the values of the function f(x) of the form k xk fk ... ... ... ... ... ... ... ... ... All calculations are to be carried out in the FPA9.
Consider the function f(x) = arctan2(1 + arctan6(1 + arctan3(x))). Use the formulas f0’≈ f1-f-1/2h andf0”≈ f-1-2f0+f1/h2 for the numerical differentiation with h = 0:00001 to approximate the value f’(π/3) of the first and the value f”(π/3) of the second derivative of f at x0 = π/3. Show your work by creating a table with the values of the function f(x) of the form k xk fk ... ... ... ... ... ... ... ... ... All calculations are to be carried out in the FPA9.
for the numerical differentiation with h = 0:00001 to approximate the value f’(π/3) of the first and the value f”(π/3) of the second derivative of
f at x0 = π/3.
Show your work by creating a table with the values of the function f(x) of the form
k
xk
fk
...
...
...
...
...
...
...
...
...
All calculations are to be carried out in the FPA9.
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
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