举一反三
- 函数\(y = { { \sin x} \over x}\)的导数为( ). A: \( { { x\cos x - \sin x} \over { { x^2}}}\) B: \( { { x\cos x + \sin x} \over { { x^2}}}\) C: \( { { x\sin x - \cos x} \over { { x^2}}}\) D: \( { { x\sin x + \cos x} \over { { x^2}}}\)
- 函数f(x)=3x2+2*cos(pi*x)在x=1处的导数为6+2pi
- 求函数[img=107x38]17da6537b12a2e0.png[/img]的导数; ( ) A: 2*x*sin(1/x) - sin(1/x) B: 2xsin(1/x) - cos(1/x) C: 2*x*sin(1/x) - cos(1/x) D: 2*x*cos(1/x) - cos(1/x)
- 求函数$f(x)=e^x\cos x$的导数 A: $-e^x\sin x$ B: $e^x\sin x$ C: $e^x(\cos x+\sin x)$ D: $e^x(\cos x-\sin x)$
- 求函数[img=192x40]17da653862ff7b6.png[/img]的导数; ( ) A: cos(x)/sin(x) - cot(x)*(cot(x)^2 + 1) B: cos(x)/sin(x) C: cot(x)*(cot(x)^2 + 1) D: cos(x)/sin(x) - cot(x)*(cot(x)^2 + 1)+cot(x)
内容
- 0
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)]=______.