The Taylor series about x = 0 of the arctangent function is k x2k+1 El-1)* rctan x = x 3 7 2k + 1 k=0 Given this, what is the 11th derivative of arctan x at x = 0? Hint: think in terms of the definition of a Taylor series. The coefficient of the degree 11 term of arctan is –1/11; therefore...

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A: We will find out the required term.

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Q: (d) f(x) = cos(x) (e) f(x) = x² sin(x)

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A: All the parts are solved properly with detailed explanation.Hope you got your answer. If any query…