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It is known that the Maclaurin series of function f(x) = tan x is tan x = x + x³ +²25 +.... Then the fifth derivative of the function g(x) = (1 + x²) tan x at 0 is g(5)(0) = O a) 84 b) 64 O c) 72 O d) 96 O e) 56 O f) 48

It is known that the Maclaurin series of function f(x) = tan x is tan x = x + x³ +²25 +.... Then the fifth derivative of the function g(x) = (1 + x²) tan x at 0 is g(5)(0) = O a) 84 b) 64 O c) 72 O d) 96 O e) 56 O f) 48

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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It is known that the Maclaurin series of function f(x) = tan x is tan x= x + ²x³+25+.... Then the fifth derivative of the function g(x) = (1-x²) tan x at 0 is g(5)(0) - O a) 84 O b) 64 c) 72 O d) 96 e) 56 f) 48 www EST
Transcribed Image Text:It is known that the Maclaurin series of function f(x) = tan x is tan x= x + ²x³+25+.... Then the fifth derivative of the function g(x) = (1-x²) tan x at 0 is g(5)(0) - O a) 84 O b) 64 c) 72 O d) 96 e) 56 f) 48 www EST
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