Find the 3rd derivative using finite difference approach via the Taylor series
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- Find the 3rd derivative using finite difference approach via the Taylor series
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- Write the Taylor series for the function of two variables in which fourth derivative involve ?The term f(x)=xlnx+x^2 is used only in the first 4 uses of the Taylor series x=3. Find f(2).Use the taylor series to find the 8 point 6th derivative for the backward finite difference method, show solution step by step.
- Let f(x)=e(x-1)^2-1/(x-1)2 for x ≠ 1 and f(1)=1 a. Write the first four nonzero terms and the general term of the Taylor series for e(x-1)^2 about x=1 b. Use the series found in (a) to write the first four nonzero terms and the general term for the Taylor series for f about x=1 c. Determine the interval of convergence for the series given in (b). d. Use the series for f about x=1 to determine if the graph of f has any points of inflection.5. For f(x) = 3+7x19x² + 2x4, find: (a) the Maclaurin series (Taylor series about x = = 0). (b) the Taylor series for this function about x = 2 using complete Horner's algorithm.Determine the bn of nth partial sum of the Fourier Series of the periodic function f(x) = -9x + 6, [-, π]: bn A = A == TU (−1)n