STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...

f'(x)1+[f(x)]^2 & f^v(x)=2f(x) f^iv(x) + 8 f'''(x)f('(x) g[f''(x)]^2 Hence, by using the Maclaurin's theorem show that tan(x)= x+1/3x^3 +2/15 x^5