1.f(x)=x(x^2+1/x+1/x^3) 2.f(x)=(e^x+Inx)/x 3.f(x)=sinx(cosx+2^x) 4.f(x)=5log2(2x+1)
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1.f(x)=x(x^2+1/x+1/x^3)2.f(x)=(e^x+Inx)/x3.f(x)=sinx(cosx+2^x)4.f(x)=5log2(2x+1)1.f(x)=x(x^2+1/x+1/x
1.f(x)=x(x^2+1/x+1/x^3) 2.f(x)=(e^x+Inx)/x 3.f(x)=sinx(cosx+2^x) 4.f(x)=5log2(2x+1)
1.f(x)=x(x^2+1/x+1/x^3) 2.f(x)=(e^x+Inx)/x 3.f(x)=sinx(cosx+2^x) 4.f(x)=5log2(2x+1)
1.f(x)=x(x^2+1/x+1/x^3) 2.f(x)=(e^x+Inx)/x 3.f(x)=sinx(cosx+2^x) 4.f(x)=5log2(2x+1)
1.f(x)=x(x^2+1/x+1/x^3) =x^3+1+1/x^3
f'(x)=3x^2-(1/3)/x^4
2.f(x)=(e^x+Inx)/x
f'(x)=[(e^x+Inx)'+(e^x+Inx)x]/x^2 =(e^x+1/x+xe^x+xInx)/x^2=(x^2*e^x+xe^x+x^2*lnx+1)/x^#
3.f(x)=sinx(cosx+2^x)
f'(x)= (sinx)'(cosx+2^x)+sinx(cosx+2^x)'=cos(cosx+2^x)+sinx(-sinx+ln2*2^x)
=(cosx)^2-(sinx)^2+2^x(cosx+ln2*sinx)
=cos2x+2^x(cosx+ln2*sinx)
4.f(x)=5log2(2x+1)
f'(x)= 5*(2x+1)'/ln2*log2(2x+1)=10/ln2*log2(2x+1)
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