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| 1) |
f(x) = (-2x4-4x3-4x)⋅(2x4-6x2+1) |
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f'(x) = -32x7-56x6+72x5+80x4-8x3+60x2-4 |
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| 2) |
| f(x) = | -x3+8x2-5x+2 | | -2x4+2x3-2x |
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| f'(x) = | -2x6+32x5-46x4+40x3-28x2+4 | | (-2x4+2x3-2x)2 |
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| 3) |
f(x) = (4x4+6x2+9x)⋅(-6x3-3x) |
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f'(x) = -168x6-240x4-216x3-54x2-54x |
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| 4) |
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| f'(x) = | 28x3+126x2-24 | | (7x3-4x)2 |
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| 5) |
f(x) = (-6x4-2x3-2x2+5x-5)⋅(3x2+x) |
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f'(x) = -108x5-60x4-32x3+39x2-20x-5 |
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| 6) |
| f(x) = | -5x4+2x3+5 | | -4x3-4x2+5x |
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| f'(x) = | 20x6+40x5-83x4+20x3+60x2+40x-25 | | (-4x3-4x2+5x)2 |
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| 7) |
f(x) = (4x4-5x-7)⋅(x3+3x) |
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f'(x) = 28x6+60x4-20x3-21x2-30x-21 |
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| 8) |
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| f'(x) = | x6-2x5-15x4-190x3+23x2-16x+8 | | (x4-x-8)2 |
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| 9) |
f(x) = (-4x4-x3-3x2+5x)⋅(x4+5x3-3x2-3x) |
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f'(x) = -32x7-147x6+24x5+25x4+148x3-18x2-30x |
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| 10) |
f(x) = (7x3+2x-7)⋅(-x4-5x2+6x-2) |
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f'(x) = -49x6-185x4+196x3-72x2+94x-46 |
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| 11) |
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| f'(x) = | -24x5-30x4-72x2 | | (-6x2-5x)2 |
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| 12) |
f(x) = (-x4-x3+3x2-5)⋅(-3x4+4x3-6) |
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f'(x) = 24x7-7x6-78x5+60x4+84x3-42x2-36x |
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| 13) |
f(x) = (-4x3+5)⋅(-4x4-5x3-3x2-8x) |
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f'(x) = 112x6+120x5+60x4+48x3-75x2-30x-40 |
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| 14) |
f(x) = (5x3-2x-1)⋅(6x2-2x) |
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f'(x) = 150x4-40x3-36x2-4x+2 |
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| 15) |
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| f'(x) = | -30x6-7x4-72x3-50x2+30x+3 | | (5x3-x+3)2 |
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| 16) |
| f(x) = | -6x4-7x2+7x+8 | | 7x3+6x |
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| f'(x) = | -42x6-59x4-98x3-210x2-48 | | (7x3+6x)2 |
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| 17) |
f(x) = (-x2+2x)⋅(-6x4-5x2) |
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f'(x) = 36x5-60x4+20x3-30x2 |
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| 18) |
| f(x) = | x4+1 | | -4x4+6x3-3x2-8x |
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| f'(x) = | 6x6-6x5-24x4+16x3-18x2+6x+8 | | (-4x4+6x3-3x2-8x)2 |
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| 19) |
f(x) = (5x4-6x2+2x-5)⋅(-4x3+10) |
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f'(x) = -140x6+120x4+168x3+60x2-120x+20 |
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| 20) |
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| f'(x) = | 6x4+24x3-9x2-18x-18 | | (-x2-2x)2 |
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