微积分练习题1.y=x^2-9/x+9 dy/dx=?2.y=x^2+2x+1/x^2-2x+1 dy/dx=?3.y=(x+2)(x+3)/x+1 dy/dx=?4.f(1)=3,g(1)=5,f'(1)=2,g'(1)=4#:设 F(x)=f(x)g(x)的时候F'(1)的值?#:设G(x)=f(x)/g(x)的时候G'(1)的值?5.y=z(z^2+1)^3,z=(x+1)^2的时候 d
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![微积分练习题1.y=x^2-9/x+9 dy/dx=?2.y=x^2+2x+1/x^2-2x+1 dy/dx=?3.y=(x+2)(x+3)/x+1 dy/dx=?4.f(1)=3,g(1)=5,f'(1)=2,g'(1)=4#:设 F(x)=f(x)g(x)的时候F'(1)的值?#:设G(x)=f(x)/g(x)的时候G'(1)的值?5.y=z(z^2+1)^3,z=(x+1)^2的时候 d](/uploads/image/z/11297094-6-4.jpg?t=%E5%BE%AE%E7%A7%AF%E5%88%86%E7%BB%83%E4%B9%A0%E9%A2%981.y%3Dx%5E2-9%2Fx%2B9+dy%2Fdx%3D%3F2.y%3Dx%5E2%2B2x%2B1%2Fx%5E2-2x%2B1+dy%2Fdx%3D%3F3.y%3D%28x%2B2%29%28x%2B3%29%2Fx%2B1+dy%2Fdx%3D%3F4.f%281%29%3D3%2Cg%281%29%3D5%2Cf%27%281%29%3D2%2Cg%27%281%29%3D4%23%EF%BC%9A%E8%AE%BE+F%EF%BC%88x%29%3Df%28x%29g%28x%29%E7%9A%84%E6%97%B6%E5%80%99F%27%281%29%E7%9A%84%E5%80%BC%3F%23%EF%BC%9A%E8%AE%BEG%EF%BC%88x%29%3Df%28x%29%2Fg%28x%29%E7%9A%84%E6%97%B6%E5%80%99G%27%281%EF%BC%89%E7%9A%84%E5%80%BC%3F5.y%3Dz%28z%5E2%2B1%29%5E3%2Cz%3D%28x%2B1%29%5E2%E7%9A%84%E6%97%B6%E5%80%99+d)
微积分练习题1.y=x^2-9/x+9 dy/dx=?2.y=x^2+2x+1/x^2-2x+1 dy/dx=?3.y=(x+2)(x+3)/x+1 dy/dx=?4.f(1)=3,g(1)=5,f'(1)=2,g'(1)=4#:设 F(x)=f(x)g(x)的时候F'(1)的值?#:设G(x)=f(x)/g(x)的时候G'(1)的值?5.y=z(z^2+1)^3,z=(x+1)^2的时候 d
微积分练习题
1.y=x^2-9/x+9 dy/dx=?
2.y=x^2+2x+1/x^2-2x+1 dy/dx=?
3.y=(x+2)(x+3)/x+1 dy/dx=?
4.f(1)=3,g(1)=5,f'(1)=2,g'(1)=4
#:设 F(x)=f(x)g(x)的时候F'(1)的值?
#:设G(x)=f(x)/g(x)的时候G'(1)的值?
5.y=z(z^2+1)^3,z=(x+1)^2的时候 dy/dx=?
微积分练习题1.y=x^2-9/x+9 dy/dx=?2.y=x^2+2x+1/x^2-2x+1 dy/dx=?3.y=(x+2)(x+3)/x+1 dy/dx=?4.f(1)=3,g(1)=5,f'(1)=2,g'(1)=4#:设 F(x)=f(x)g(x)的时候F'(1)的值?#:设G(x)=f(x)/g(x)的时候G'(1)的值?5.y=z(z^2+1)^3,z=(x+1)^2的时候 d
1.dy/dx=2x+9/(x^2)
2.dy/dx=2x+2-2/(x-1)^3
3.y=(x+2)(x+3)/x+1
dy/dx=1-6/x^2
4.F'(x)=f'(x)g(x)+f(x)g'(x)
F'(1)=f'(1)g(1)+f(1)g'(1)=2*5+3*4=22
G'(x)=(f'(x)g(x)-g'(x)f(x))/g(x)^2
G'(1)=(f'(1)g(1)-g'(1)f(1))/g(1)^2=(2*5-4*3)/5^2=-2/25
5.dy/dx=dy/dz * dz/dx
=(z^2+1)^2(7z^2+1)*2(x+1) (再带入z=(x+1)^2)
=2(x+1)[(x+1)^4+1][7(x+1)^4+1]
1.
dy/dx=2x+9/x^2
2.
y=x^2+2x+1/(x-1)^2
dy/dx=2x+2-2/(x-1)^3
3.
y=(x^2+5x+6)/x+1=x+5+6/x+1
dy/dx=1-6/x^2
4.
F'(1)=f(1)g'(1)+f'(1)g(1)
=3*4+5*2=22
5.
太麻烦了,不想算了。