Tentukan f'(x) jika fungsinya f(x)=2 √x^5-3x²+x
Matematika
azizahziza07
Pertanyaan
Tentukan f'(x) jika fungsinya f(x)=2 √x^5-3x²+x
2 Jawaban
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1. Jawaban whongaliem
f (x) = 2√x^5 - 3x² + x
= 2.x^(5/2) - 3x² + x
f' (x) = 5 x^(3/2) - 6x + 1
= 5√x³ - 6x + 1 -
2. Jawaban arsetpopeye
Soalnya agak rancu : saya tafsirkan (x^5 - 3x^2 + x) itu didalam akar
f(x) = 2√(x^5 - 3x^2 + x)
= 2 (x^5 - 3x^2 + x)^1/2
f'(x) = 2(1/2)(x^5 - 3x^2 + x)^-1/2 . (5x^4 - 6x + 1)
= (5x^4 - 6x + 1) / (x^5 - 3x^2 + x)^1/2
= (5x^4 - 6x + 1) / √(x^5 - 3x^2 + x)