高二数学 导数的计算 求详细过程
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(1)
y=x(x^2+1/x+1/x^3)
=x^3 +1 + 1/x^2
y' =3x^2- (2/x^3)
(2)
y =(√x+1)(1/√x -1)
=√x + (1/√x)
y' = 1/(2√x) - (1/2)x^(-3/2)
(3)
y=xtanx
y' = x(secx)^2 + tanx
(4)
y=x -sin(x/2)cos(x/2)
= x- (1/2)sinx
y' =1 - (1/2)cosx
(5)
y=3lnx +a^x
y' = (3/x) + (lna).a^x
y=x(x^2+1/x+1/x^3)
=x^3 +1 + 1/x^2
y' =3x^2- (2/x^3)
(2)
y =(√x+1)(1/√x -1)
=√x + (1/√x)
y' = 1/(2√x) - (1/2)x^(-3/2)
(3)
y=xtanx
y' = x(secx)^2 + tanx
(4)
y=x -sin(x/2)cos(x/2)
= x- (1/2)sinx
y' =1 - (1/2)cosx
(5)
y=3lnx +a^x
y' = (3/x) + (lna).a^x
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