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SMK Teknologi dan Rekayasa

Soal 114 Turunan Fungsi Aljabar


Turunan\ pertama\ dari\ f(x)=x^{3}-2\sqrt{x}\ adalah\ ....
a.\ \ f{}'(x)=3x-\frac{1}{\sqrt{x}}
b.\ \ f{}'(x)=3x+\frac{1}{\sqrt{x}}
c.\ \ f{}'(x)=3x^{2}-\frac{1}{\sqrt{x}}
d.\ \ f{}'(x)=3x^{2}+\frac{1}{\sqrt{x}}\\ \\e.\ \ f{}'(x)=3x^{2}+\sqrt{x}
Jawaban: c

f(x)=x^{3}-2\sqrt{x}=x^{3}-2x^{\frac{1}{2}}
\begin{array}{rcl}f{}'(x)&=&3x^{3-1}-2\times \frac{1}{2}x^{\frac{1}{2}-1}\\\\&=&3x^{2}-x^{-\frac{1}{2}}\\\\&=&3x^{2}-\frac{1}{x^{\frac{1}{2}}}\\\\&=&3x^{2}-\frac{1}{\sqrt{x}}\end{array}

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2 thoughts on “Soal 114 Turunan Fungsi Aljabar

  1. Saya suka code persamaannya di http://www.codecogs.com/latex/eqneditor.php?
    theme kita sama.
    silakan berkunjung di ekoh4riyanto.wordpress.com

    Eko H

    Posted by eko | 23 April 2010, 1:52 AM

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