1) f'(x) = -6/x⁴
2) f'(x) = - 15/x^6
3) f'(x) = 6√x
4) f'(x) = 8x + 2/3 ³√x - 1/2√x
Jawab:
Penjelasan dengan langkah-langkah:
1. f'(x) = -3.2x^(-3-1) = -6x^-4
2. f'(x) = 3.x^-5 = -5.3x^(-5-1) = -15x^-6
3. f'(x) = 4.x^(3/2) = 3/2.4 x^(3/2-1) = 6x^(3/2-2/2) = 6x^(1/2)
4. f'(x) = 4x^2+x^2/3-x^1/2 = 2.4x^(2-1) + 2/3x^(2/3-1) - 1/2x^(1/2-1)
= 8x + 2/3x^(2/3-3/3) - 1/2x^(1/2-2/2)
= 8x + 2/3 x^(-1/3) - 1/2x^(-1/2)
= 8x + -
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1) f'(x) = -6/x⁴
2) f'(x) = - 15/x^6
3) f'(x) = 6√x
4) f'(x) = 8x + 2/3 ³√x - 1/2√x
Jawab:
Penjelasan dengan langkah-langkah:
1. f'(x) = -3.2x^(-3-1) = -6x^-4
2. f'(x) = 3.x^-5 = -5.3x^(-5-1) = -15x^-6
3. f'(x) = 4.x^(3/2) = 3/2.4 x^(3/2-1) = 6x^(3/2-2/2) = 6x^(1/2)
4. f'(x) = 4x^2+x^2/3-x^1/2 = 2.4x^(2-1) + 2/3x^(2/3-1) - 1/2x^(1/2-1)
= 8x + 2/3x^(2/3-3/3) - 1/2x^(1/2-2/2)
= 8x + 2/3 x^(-1/3) - 1/2x^(-1/2)
= 8x + -