Tentukan turunan fungsi f(x)=√2-x²
Matematika
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Pertanyaan
Tentukan turunan fungsi f(x)=√2-x²
1 Jawaban
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1. Jawaban rizkiazhar1
[tex] \sqrt{2 - {x}^{2} } \\ = (2 - { {x}^{2} }) {}^{ \frac{1}{2} } \\ turunannya = \frac{1}{2} (2 - {x}^{2} ) {}^{ - \frac{1}{2} } ( - 2x) \\ = \frac{ - x}{(2 - {x}^{2} ) {}^{ \frac{1}{2} } } \\ \\ = - \frac{x}{ \sqrt{2 - {x}^{2} } } [/tex]