f(x)=e^xsinx
f′(x)=e^xsinx+e^xcosx;
f″(x)=e^xsinx+e^xcosx+e^xcosx-e^xsinx
=2e^xcosx;
∴f'''(0)=2×e^0×cos0=2×1×1=2;
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f(x)=e^xsinx
f′(x)=e^xsinx+e^xcosx;
f″(x)=e^xsinx+e^xcosx+e^xcosx-e^xsinx
=2e^xcosx;
∴f'''(0)=2×e^0×cos0=2×1×1=2;
很高兴为您解答,skyhunter002为您答疑解惑
如果本题有什么不明白可以追问,