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a fost răspuns

Cum se calculeaza derivatele functiilor:
1) f(x)=x³-4x²+2x+5
2) f(x)=x·ln x
3) f(x)=x-1/x-2
4) f(x)=(x²+1) e*

Răspuns :

1)f'x(x)=3x²-8x+2
2)f'(x)=x'lnx+x(lnx)'=lnx+x*1/x=lnx+1
3)f'x()=[(x-1)'(x-2)-(x-1)(x-2)']/(x-2)²=(x-2-x+1)/(x-2)²=-1/(x-2)²
4)f'(x)=(x²+1)'e^x+(x²+1)(e^x)'=2xe^x+(x²+)e^x=e^x(2x+x²+1)=e^x(x+1)²

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