曲線y=x3(x-4)既單增又向上凹的區(qū)間為()
A.(-∞,0)
B.(0,+∞)
C.(2,+∞)
D.(3,+∞)
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已知函數f(x)=2x3-6x2+m(m為常數)在[-2,2]上有最大值3,則該函數在[-2,2]上的最小值是()
A.3
B.-5
C.-40
D.-37
A.10arctan2-31n2
B.(5/2)π-3
C.10arctan3-3ln3
D.10arctan(1/3)
點(0,1)是曲線y=ax3+bx+c的拐點,則a、b、c的值分別為()
A.a=1,b=-3,c=-2
B.a≠0的實數,b為任意實數,c=1
C.a=1,b=0,c=2
D.a=0、b為任意實數,c=1
過點M0(-1,1)且與曲線2ex-2cosy-1=0上點(0,π/3)的切線相垂直的直線方程是:()
A.y-π/3=(/2)x
B.y-π/3=-(2/)x
C.y-1=(/2)(x+1)
D.y-1=-(2/)(x+1)
已知由方程siny+xey=0,確定y是x的函數,則dy/dx的值是:()
A.-(ey+cosy)/xey
B.-ey/cosy
C.-ey/(cosy+xey)
D.-cosy/xey
設參數方程,確定了y是x的函數,f″(t)存在且不為零,則d2y/d2x的值是:()
A.-1/f″(t)
B.1/[f″(t)]2
C.-1/[f″(t)]2
D.1/f″(t)
(x+ex)的值是:()
A.e
B.e
C.1
D.2
設參數方程,確定了y是x的函數,且f′(t)存在,f(0)=2,f′(0)=2,則當t=0時,dy/dx的值等于:()
A.4/3
B.-4/3
C.-2
D.2
設y=(1+x),則y′(1)等于:()
A.2
B.e
C.1/2-ln2
D.1-ln4
已知,則dy/dx為:()
A.(t2-1)/2t
B.(1-t2)/2t
C.(x2-1)/2x
D.2t/(t2-1)