Question: Consider the function f(x)=5cosx2a. Differentiate the Thylor series centered at 0 for f(x).b. Identify the function represented by the differentiated series.e. Give the interval of

Consider the function f(x)=5cosx2a. Differentiate the Thylor series centered at 0 for f(x).b. Identify the function represented by the differentiated series.e. Give the interval of cornergence of the power series for the derivative.a. Choose the correct answer.A.-10x-10x321-10x24!-10x136!-dotsC.-10x3-10x731-10x1151-cdotsB.-10x-10x52x10x941-10x1361-D.-10x210x731-10x1151 b. The diferentiated series converges to(Type an expression using x as the variable)c. The interval of corrergence of the power series for the definative is (Type your answer in interval notation.)

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