turunan dari fungsi trigonometri f(x)tan³4x adalah f'(x)=..
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Jawaban:
[tex]f'(x) = \frac{12 \sin(4x) {}^{2} }{ \cos(4x) {}^{4} } [/tex]
Penjelasan dengan langkah-langkah:
f(x) = tan³(4x)
[tex]f'(x) = \frac{d}{dx} ( \tan(4x) {}^{3} ) [/tex]
[tex]f'(x) = \frac{d}{dg} ( {g}^{3} ) \frac{d}{dx} ( \tan(4x) )[/tex]
[tex]f'(x) = 3g {}^{2} . \sec(4x) {}^{2} 4[/tex]
[tex]f'(x) = 3 \tan(4x) {}^{2} \sec(4x) {}^{2} 4[/tex]
[tex]f'(x) =3. \frac{ \sin(4x) {}^{2} }{ \cos(4x) {}^{2} } . \frac{1}{ \cos(4x) {}^{2} } .4[/tex]
[tex]f'(x) = \frac{12 \sin(4x) {}^{2} }{ \cos(4x) {}^{4} } [/tex]
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