Ergebnisse (Ableitungsregeln)

1. 1. f'(x) = 100x⁹⁹
   2. f'(x) = 21x⁶ + 55x⁴ - 24x² - 7
   3. f'(x) = x³/3 + 12x²/5 - 3x/2 - 1/8
   4. f'(x) = -3/x⁴
   5. f'(x) = -6/x³
   6. f'(x) = -2/x⁵
   7. f'(x) = -4/x⁷
   8. f'(x) = 2x + 2/3 + 4/x²
   9. f'(x) = -9/x⁴ + 4/x³ - 1/(3x²)
   10. f'(x) = -4/x⁵ + 18/x⁴ - 24/x³ + 8/x²
   11. f'(x) = 1/(3·³√x²)
   12. f'(x) = 3√x/2
   13. f'(x) = 4/√x - 1/(2·⁴√x³)
   14. f'(x) = 1/(6·³√x²) - 1/(2√x³)
1. y' = 8x + 4
2. y' = 3x² + 8x - 2
3. y' = 12x³ + 27x² - 10x - 15
4. y' = 6x² + 4x - 2
5. y' = 24x²
6. y' = 10x⁴ - 4x³ + 42x² - 28x + 29
1. y' = 5/(x + 4)²
2. y' = -13/(3x - 5)²
3. y' = (-4x³ + 4)/(x³+2)²
4. y' = (5x² - 8x + 20)/(x² - 4)²
5. y' = (12x² + 20x - 21)/(6x + 5)²
6. y' = (x4 + 6x³ + 2x + 3)/(x² + 3x)²
1. y' = 1 - 3/x²
2. y' = 1/3 - 3/x²
3. y' = 3
4. y' = 1/4 + 2/x² + 1/x³
5. y' = -4/x³ + 15/x⁴
6. y' = -1/(4x²) - 2/x⁴
1. f'(x) = 10(2x + 3)⁴
2. f'(x) = 6x(x² - 9)²
3. f'(x) = -2x/(x² + 3)²
4. f'(x) = -20/(10x - 3)³
5. f'(x) = 3/√(6x - 1)
6. f'(x) = x/√(x² - 4)
1. f'(x) = (1 + x)·e^x
2. f'(x) = (2x + x²)·e^x
3. f'(x) = (3x + 1)·e^x
4. f'(x) = (x - 1)·e^x/x²
5. f'(x) = (2x - x²)/e^x
6. f'(x) = 3e^3x
7. f'(x) = 0,1e^0,1x+3
8. f'(x) = 2x·e^x²
1. f'(x) = ln x + 1
2. f'(x) = (1 - ln x)/x²
3. f'(x) = 3·(ln x)²/x
4. f'(x) = 3/x
5. f'(x) = 2/(2x - 5)
6. f'(x) = 2x/(x² + 1)
1. f'(x) = cos² x - sin² x
2. f'(x) = 1/cos² x
3. f'(x) = 3·cos(3x)
4. f'(x) = 6·cos(2x + π)
5. f'(x) = -2x·sin(x²)
6. f'(x) = 0

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