單項選擇題函數(shù)f(x)=10arctanx-3lnx的極大值是()

A.10arctan2-31n2
B.(5/2)π-3
C.10arctan3-3ln3
D.10arctan(1/3)


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1.單項選擇題

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(shù),b為任意實數(shù),c=1
C.a=1,b=0,c=2
D.a=0、b為任意實數(shù),c=1

2.單項選擇題

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)

3.單項選擇題

已知由方程siny+xey=0,確定y是x的函數(shù),則dy/dx的值是:()

A.-(ey+cosy)/xey
B.-ey/cosy
C.-ey/(cosy+xey
D.-cosy/xey

4.單項選擇題

設(shè)參數(shù)方程,確定了y是x的函數(shù),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)

5.單項選擇題

(x+ex的值是:()

A.e
B.e
C.1
D.2

7.單項選擇題

設(shè)y=(1+x),則y′(1)等于:()

A.2
B.e
C.1/2-ln2
D.1-ln4

8.單項選擇題

已知,則dy/dx為:()

A.(t2-1)/2t
B.(1-t2)/2t
C.(x2-1)/2x
D.2t/(t2-1)

9.單項選擇題

設(shè)y=,則dy的值是:()

A.exdsin2x
B.sin2xdsinx
C.dsin2x
D.dsinx

10.單項選擇題函數(shù)y=x+x|x|,在x=0處應(yīng):()

A.連續(xù)且可導(dǎo)
B.連續(xù)但不可導(dǎo)
C.不連續(xù)
D.以上均不對