Ergebnisse (Ableitungsregeln)

    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)·ex
    2. f'(x) = (2x + x²)·ex
    3. f'(x) = (3x + 1)·ex
    4. f'(x) = (x - 1)·ex/x²
    5. f'(x) = (2x - x²)/ex
    6. f'(x) = 3e3x
    7. f'(x) = 0,1e0,1x+3
    8. f'(x) = 2x·e

    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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