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kassandra37
@kassandra37
January 2021
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Bonjour, exercice sur les fonctions dérivés, merci à ceux qui pourront m'aider
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MonsieurFirdown
Verified answer
Bonjour
♧ 1.
♤ a/ f(x) = -4x^2 d'où f'(x) = -4 × 2x = - 8x
♤ b/ f(x) = -2x^2 + 1,5x - 45 d'où f'(x) = -2 × 2x + 1,5 = -4x + 1,5
♧ 2.
♤ a/ f(x) = 5x^3 -4x + 1 d'où f'(x) = 5×3x^2 - 4 = 15x^2 - 4
♤ b/ f(x) = 3/x d'où f'(x) = -3/x^2
♧ 3.
♤ a/ f(x) = 4x d'où f'(x) = tout simplement 4
♤ b/ f(x) = 2x^3 d'où f'(x) = 2×3x^2 = 6x^2
Voilà ^^
2 votes
Thanks 1
loulakar
Verified answer
Bonsoir,
• f(x) = - 4x^2
f ‘(x) = - 4 * 2x^(2-1) = -8x
• f(x) = -2x^2 + 1,5x - 45
f ‘(x) = -2 * 2x^(2-1) + 1,5 * 1x^(1-1) = -4x + 1,5
• La dérivée d’une puissance c’est :
f(x) = x^n
f ´(x) = n * x^(n - 1)
• La dérivée d’une constante c’est : 0
f(x) = 3/x = 3x^(-1)
f ´(x) = 3 * (-1)x^(-1-1) = -3x^(-2) = -3/x^2
Pour les autres je te laisse faire.
0 votes
Thanks 1
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Lista de comentários
Verified answer
Bonjour♧ 1.
♤ a/ f(x) = -4x^2 d'où f'(x) = -4 × 2x = - 8x
♤ b/ f(x) = -2x^2 + 1,5x - 45 d'où f'(x) = -2 × 2x + 1,5 = -4x + 1,5
♧ 2.
♤ a/ f(x) = 5x^3 -4x + 1 d'où f'(x) = 5×3x^2 - 4 = 15x^2 - 4
♤ b/ f(x) = 3/x d'où f'(x) = -3/x^2
♧ 3.
♤ a/ f(x) = 4x d'où f'(x) = tout simplement 4
♤ b/ f(x) = 2x^3 d'où f'(x) = 2×3x^2 = 6x^2
Voilà ^^
Verified answer
Bonsoir,• f(x) = - 4x^2
f ‘(x) = - 4 * 2x^(2-1) = -8x
• f(x) = -2x^2 + 1,5x - 45
f ‘(x) = -2 * 2x^(2-1) + 1,5 * 1x^(1-1) = -4x + 1,5
• La dérivée d’une puissance c’est :
f(x) = x^n
f ´(x) = n * x^(n - 1)
• La dérivée d’une constante c’est : 0
f(x) = 3/x = 3x^(-1)
f ´(x) = 3 * (-1)x^(-1-1) = -3x^(-2) = -3/x^2
Pour les autres je te laisse faire.