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Bài `1:`

`a) f(x) = (1 - x^3)^5`

`f'(x) = 5.(1-x^3)^4 . (1-x^3)'`

       `= 5 . (1 - x^3)^4 . (-3x^2) = -15x^2 . (1 - x^3)^4`

`b) f(x) = x^4 - x^2 + x + 200`

 `f'(x) = 4x^3 - 2x + 1`

`c) f(x) = 3x^4 - x^3 + x - 2025`

`f'(x) = 12x^3 - 3x^2 + 1`

`d) f(x) = x^3 - 2x^2 + 5/x + 7`

`f'(x) = 3x^2 - 4x - 5/(x^2)`

`e) f(x) = x - 4/x`

`f'(x) = 1 + 4/(x^2)`

`f) f(x) = -x^7 + 2x^5 + 3x^3`

`f'(x) = -7x^6 + 10x^4 + 9x^2`

`g) f(x) = (x - 1)(x - 2)`

`f'(x) = 1(x - 2) + 1(x - 1) = 2x - 3`

`h) f(x) = (3x + 5)/(-1 + 2x)`

`f'(x) = ( 3(-1 + 2x) - 2(3x + 5))/((-1+2x)^2)`

     ` = (-13)/((-1+2x)^2)`

`i) f(x) = (x - 2)/(x - 1)`

`f'(x) = ( 1(x - 1) - 1(x - 2))/((x-1)^2) = 1/((x-1)^2)`

`j) f(x) = (x - 1)/(x + 1)`

`f'(x) = ( 1(x + 1) - 1(x - 1))/((x+1)^2) = 2/((x+1)^2)`