Turunan dari adalah.......................
[tex]f(x) = \frac{2}{ \sqrt{4x} \: - \sqrt{x} } [/tex]
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[tex]f(x) = \frac{2}{ \sqrt{4x} \: - \sqrt{x} } [/tex]
Jawaban:
[tex] - \frac{1}{ \sqrt{ {x}^{3} } } [/tex]
Penjelasan dengan langkah-langkah:
[tex]f(x) = \frac{2}{ \sqrt{4x} - \sqrt{x} } \\ = \frac{2}{2 \sqrt{x} - \sqrt{x} } \\ = \frac{2}{ \sqrt{x} } [/tex]
Turunkan:
[tex] = 2 {x}^{ - \frac{1}{2} } \\ = - \frac{1}{2} (2) {x}^{ - \frac{3}{2} } \\ = - {x}^{ - \frac{3}{2} } \\ = - \frac{1}{ {x}^{ \frac{3}{2} } } \\ = - \frac{1}{ \sqrt{ {x}^{3} } } [/tex]
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