• 2022-06-16
    函数f(x)=cos(x2+x)导数是(  )
  • 函数的导数为f′(x)=-sin(x2+x)•(x2+x)′=-(2x+1)sin(x2+x),故选:B

    内容

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      函数\(y = x\cos x\)的导数为( ). A: \(\cos x - x\sin x\) B: \(\cos x{\rm{ + }}x\sin x\) C: \(\sin x{\rm{ + }}x\cos x\) D: \(\sin x - x\cos x\)

    • 1

      求函数$f(x)=x^{\sin x}$的导数 A: $x^{\cos x}$ B: $\sin (x) x^{\sin (x) -1}$ C: $x^{\sin x}(\cos x\ln x+\frac{\sin x}{x})$ D: $x^{\sin x}(\sin x\ln x+\frac{\cos x}{x}$

    • 2

      设(),求y的4阶导数错误的命令是()A.()syms()f(x)()f(x)=exp(x)*cos(x)()diff(f,4)()B.()syms()f(x)()f(x)=exp(x)*cos(x)()diff(f,x,4)()C.()syms()f(x)()f(x)=exp(x)*cos(x)()diff(f,4,x)()D.()syms()f(x)()f(x)=exp(x)*cos(x)()diff(f,x)

    • 3

      设\(z = f(x,y)\),\(x = \sin t\),\(y = {t^3}\),则全导数\( { { dz} \over {dt}} = \) A: \({f'_x} \sin t+ 3{t^2}{f'_y}\) B: \({f'_x} \cos t+ {t^2}{f'_y}\) C: \({f'_x} \cos t+ 3{t^2}{f'_y}\) D: \({f'_y} \cos t+ 3{t^2}{f'_x}\)

    • 4

      若f(x)=-x2+x,(x>0)0,,(x=0)x2-x,(x<0),则f[f(2)]=______.