Derivatives of higher order can be very time consuming - especially for functions like f(x) =...

 

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Derivatives of higher order can be very time consuming - especially for functions like f(x) = 23³e-4. But if we write a Taylor series for this function then finding something like this next problem is more manageable: (a) Write the 20th degree Taylor polynomial for f(x) = 2³. e4 centered at z = 0. (b) Evaluate the 18th derivative at z = 0 using your answer from part (a). Derivatives of higher order can be very time consuming - especially for functions like f(x) = 23³e-4. But if we write a Taylor series for this function then finding something like this next problem is more manageable: (a) Write the 20th degree Taylor polynomial for f(x) = 2³. e4 centered at z = 0. (b) Evaluate the 18th derivative at z = 0 using your answer from part (a).

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a b fn 3 Taylor Series 18th fx x... View the full answer