Jika f(x) = 1/4x^4 -1/2x^2 + x maka nilai dari f'(1/2) adalah

Pembahasan

[tex]f(x) = \frac{1}{4} x^4 - \frac{1}{2} x^2 + x[/tex]

[tex]f'(x) = (4)\frac{1}{4} x^3 - (2)\frac{1}{2} x^1 + 1[/tex]

[tex]f'(x) = x^3 - x + 1[/tex]

[tex]f'( \frac{1}{2} ) = ( \frac{1}{2}) ^3 - \frac{1}{2} + 1[/tex]

[tex]f'( \frac{1}{2} ) = \frac{1}{8} - \frac{1}{2} + 1[/tex]

Hasil akhirnya [tex]f'( \frac{1}{2} ) = \frac{5}{8}[/tex]
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Kode : 11.2.8 [Bab 8 - Turunan]