turunan pertama dari

<p>Ingat.</p><p>cos/sin=cot</p><p>1/sin=cosec</p><p>&nbsp;</p><p>jika f(x)=u/v&nbsp;</p><p>maka f'(x)=(u'.v-v'.u) / v²</p><p>&nbsp;</p><p>f(x)=x³/sin x</p><p>u = x³⇒ u' = 3x²</p><p>v = sin x ⇒ v' = cos x</p><p>&nbsp;</p><p>f'(x)=(u'.v-v'.u) / v²</p><p>f'(x)=(3x².sinx - (cos x)x³) / (sin x)²</p><p>= (3x²sinx - x³cos x) / sin²x</p><p>= (3x²sinx/sin²x) &nbsp;- &nbsp;(x³cos x/sin²x)</p><p>= (3x^{2 &nbsp;.}cosecx) &nbsp;- &nbsp;(x^{3 .}cot x ^.cosec x)</p><p>= (3x²- &nbsp;x³cot x)cosec x</p>