Jawaban:
f'''(x) = 3/(8√(x⁵))
Penjelasan dengan langkah-langkah:
f(x) = √x
f(x) = x^½
f'(x) = ½ x^(½-1)
f'(x) = ½ x^(-½)
f''(x) = -¼ x^(-½-1)
f''(x) = -¼ x^(-3/2)
f'''(x) = ⅜ x^(-3/2 - 1)
f'''(x) = ⅜ x^(-5/2)
f'''(x) = 3/(8x^(5/2))
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Jawaban:
f'''(x) = 3/(8√(x⁵))
Penjelasan dengan langkah-langkah:
f(x) = √x
f(x) = x^½
f'(x) = ½ x^(½-1)
f'(x) = ½ x^(-½)
f''(x) = -¼ x^(-½-1)
f''(x) = -¼ x^(-3/2)
f'''(x) = ⅜ x^(-3/2 - 1)
f'''(x) = ⅜ x^(-5/2)
f'''(x) = 3/(8x^(5/2))
f'''(x) = 3/(8√(x⁵))