|
1) |
f(x) = | -7x3-4x2+7x+6 | -7x3-9x+10 |
|
|
f'(x) = | -28x4+224x3-48x2-80x+124 | (-7x3-9x+10)2 |
|
|
2) |
f(x) = | 4x4+5x3-7x2+8x | -7x3+7x2+6 |
|
|
f'(x) = | -28x6+56x5-14x4+208x3+34x2-84x+48 | (-7x3+7x2+6)2 |
|
|
3) |
|
|
f'(x) = | -24x5+54x4-168x3-12x2+56x | (6x4-4x2)2 |
|
|
4) |
f(x) = (-4x3+6x2+9)⋅(-7x) |
|
f'(x) = 112x3-126x2-63 |
|
5) |
f(x) = (x4+8x)⋅(2x3-6x2-2x-10) |
|
f'(x) = 14x6-36x5-10x4+24x3-144x2-32x-80 |
|
6) |
f(x) = (-x2-6x)⋅(x4-5x3-2) |
|
f'(x) = -6x5-5x4+120x3+4x+12 |
|
7) |
f(x) = (-6x4+7x3-5x2+9)⋅(-6x3-6) |
|
f'(x) = 252x6-252x5+150x4+144x3-288x2+60x |
|
8) |
f(x) = (-2x4+4x2+8)⋅(3x4-7x3) |
|
f'(x) = -48x7+98x6+72x5-140x4+96x3-168x2 |
|
9) |
f(x) = (x4-6x3-5x2+2)⋅(3x3+8x2+2x-3) |
|
f'(x) = 21x6-60x5-305x4-220x3+42x2+62x+4 |
|
10) |
f(x) = (x4+7x3-9x)⋅(5x4-3x2-6x+10) |
|
f'(x) = 40x7+245x6-18x5-360x4-128x3+291x2+108x-90 |
|
11) |
f(x) = (2x3-3x2-5x-6)⋅(x4+7x2-x-2) |
|
f'(x) = 14x6-18x5+45x4-116x3-108x2-62x+16 |
|
12) |
f(x) = (3x4+2x2+6)⋅(x4) |
|
f'(x) = 24x7+12x5+24x3 |
|
13) |
|
|
f'(x) = | -5x6+15x4-70x3+75x2-25 | (-5x3+5x)2 |
|
|
14) |
f(x) = | -x-5 | -4x4-3x3-8x2-x |
|
|
f'(x) = | -12x4-86x3-53x2-80x-5 | (-4x4-3x3-8x2-x)2 |
|
|
15) |
f(x) = | -4x4-x3-5x-7 | 3x3+8x |
|
|
f'(x) = | -12x6-96x4+14x3+63x2+56 | (3x3+8x)2 |
|
|
16) |
f(x) = (-x3+5x2+7x+5)⋅(-2x4-5x3+x2+4) |
|
f'(x) = 14x6-30x5-200x4-160x3-66x2+50x+28 |
|
17) |
f(x) = (x3+x2-5)⋅(5x4-2x3-5x+10) |
|
f'(x) = 35x6+18x5-10x4-120x3+45x2+20x+25 |
|
18) |
f(x) = (5x2+5x)⋅(4x3-x2+5x+3) |
|
f'(x) = 100x4+60x3+60x2+80x+15 |
|
19) |
f(x) = | -x4-x2+1 | -6x4+7x3-8x2-6 |
|
|
f'(x) = | -7x6+4x5+7x4+48x3-21x2+28x | (-6x4+7x3-8x2-6)2 |
|
|
20) |
f(x) = (6x4+7x3+9)⋅(3x4+7x3+7x2-8x) |
|
f'(x) = 144x7+441x6+546x5+5x4-116x3+189x2+126x-72 |
|