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analisa numerik - deret maclaurin

Senin, 07 Mei 2012 , Posted by Andi Prawirawan at 05.11

Penyelesaian Deret Maclaurin

1.   f(x)=cos x

f(0)=1

f’(x) =-sin x               f’(0)=0

f”(x) =- cosx              f”(0)=-1

f’’’(x) =sin x              f’(0)=0

f(IV)(x) =cos x            f(IV)(0)=1

f(V)(x) =- sin x           f(V)(0)=0


2.  f(x) = ex , x=0

f(x) = ex                                f(0) = 1

f’(x) = ex                             f’(0) = 1

f’’(x) = ex                            f’’(0) = 1

f(x)=f’(x)= f”(x)= f(x)= f’’’(x)= …… =f(n)(x)=ex

f(0)=f’(0)= f”(0)= f(x)= f’’’(0)= …… =f(n)(0)=1




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