Turunan 3
Contoh 4 :
Turunan pertama dari
![\fn_jvn f(x)=\sqrt[3]{x}](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_uiwu8NdNkk-cIPM-v3v23DInif4EnDqPbfskVyo6Jb4PHP_HxOaCHM_TQpFguGGeHXVfnNSn0Bvv6KHeh8rgmHj3MXSrNE_e8b_tA52dewA424dR0VdlQRhMzCPNJWBy-d1QYAmg9xJoKHLg=s0-d)
adalah
Jawab :

![\fn_jvn f'(x)=\begin{matrix} lim\\h \to \0 \end{matrix}\frac{\sqrt[3]{x+h}-\sqrt[3]{x}}{h}](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_tW-MJL0RyQ3E0tDa4N9YyLTGpDo8GX15850kSTG3UIwUarGq3FX37vFtYMZ6ZthjcQqooYVHBbmaoAc5RFfmnJQR0Xg_bQbMiKyPmLN9l9m2I_QsJ-bDi0ruH8c3eKh4lW9m1e3idYJKTr5L9MyZOXOJXs4NlGtcLuJI057hQy4pX3ADT7bQFAJ5PhlQ48YOw6gI2XRtafUazazZqBKO4F_zKg7XzOpPNWT24oM_BGmocFEs1lfUahVOT9fFUghYLmRkRpn0WjLpzDpLDzncMTrsSzOkWM=s0-d)
![\fn_jvn f'(x)=\begin{matrix} lim\\h \to \0 \end{matrix}\left ( \frac{\sqrt[3]{x+h}-\sqrt[3]{x}}{h} \right )\left ( \frac{\sqrt[3]{(x+h)^{2}}+\sqrt[3]{(x+h)x}+\sqrt[3]{x^{2}}}{\sqrt[3]{(x+h)^{2}}+\sqrt[3]{(x+h)x}+\sqrt[3]{x^{2}}} \right )](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_tHT7Yk5Wy4cM_b72PcGJiMmdKrwML5WvTkpg7L_WhvV4EillavtrQ4QGveY_u0aHMudB8DLHeKg8D79fIs0W9qvmVYeUXjjhdYGSjW1Qg6Y7nilegIY8azNUh6eR92D7pekyMrWU57iDCYSmwjFz1oizHmagqOmAdYG0LihlEr_uueQ7995qj1pV5BxhKLMv_xu_Jfp8Xfy2YqqR1n-BmWHpS-D7PI7KEtffC8clFFQfv5jDsLIoN_-03A_ZFENICmgQSZkk75ad8r1SROu5a30-y_9BT_5Nre-HpZErSfWQTptuX359496TfD9U6ydZdomQdG4-SOT7wq-Ud2GoXOKmC90jo4cvPDZr-cij1HPYxsK2AIVeSStOILJX5-EXFGDfmw3zBYmLvTLUyfTPs8IMql1uJs-ScmyZTsPGI4rATYqxhcP77VTfP9gm9NMpDKvjic9ZliblMj3RZs9FOvUn_erjGA_-g6ziMiiLN9-M41Tg5GDArRw0CGlz2GnDl74d61QaldsJ5FlVhy9gQ-1Dbw-ILYcaILu0Zwt_swXZfVG57eyKJz1CdS6d-ngPy9_8l19gADcHRE0whWY4h7-2CtxBA-I79uG078BBDX=s0-d)
![\fn_jvn f'(x)=\begin{matrix} lim\\h \to \0 \end{matrix}\left \frac{x+h-x}{h\left ( \sqrt[3]{(x+h)^{2}}+\sqrt[3]{(x+h)x}+\sqrt[3]{x^{2}} \right )}](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_vXOoQbg6ivfwgx-Nf1MFzDQLBEh_9WlxdaZ67em_-qHdLNCkZCT91KQYnWa7aU49fIZmRCn2ERc9IQJP8F3As5EoAQA14znnquC3rxBVObr6duLAOvcZE4yvPa1-HHyFh9CGsOjHhM7qj8g1oRjJcUOfm1We0L7pVssGceSSIqc4qY00kCqNOa-pnieAMH3e7LQ4rWNviNnckSm2suL7mgz7NeCvrw5GrcCmA22UrYD9IQj5a-uvvb7Xp-8YRPIRG_eepJKXDSrHF5WAV1AQ9jmAiKi91W--VnVWh7W-qrSU3Y1KPN1ou9kqk9WkIb4DWY5JE6W-siuwR4Oi5YOnojiZk8B1oiGaMdeGFSpxRDiDFYKdXhnJJXw0jxEWXolBGn8Z_6n0Szcw=s0-d)
![\fn_jvn f'(x)=\begin{matrix} lim\\h \to \0 \end{matrix}\left \frac{h}{h\left ( \sqrt[3]{(x+h)^{2}}+\sqrt[3]{(x+h)x}+\sqrt[3]{x^{2}} \right )}](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_sXMW5RyeNzH-pCQwziZDpLBT8Uux6YBsw1L8OCs_deegz_od95HNM1GThweqdhJjYZmZP9EfuQOq4UFA-G15263mfe5npg99EiLbacJ3AphWqcBHhzlVO80Qyhx4vHiOLpmBzQno0JhEmxfSu-qu08tTxPh5-mN7txJriFEWzh1ZPsPXWiGPMSh0G7pddqoX9AacuJ3YLokgnlbVppvk0nxq4DjBM26b1NqScYW6fCjuezx7NW4JknqOzH4MWkHShu0ngC96aHc4r7RhYPzNY1CTTrMDR8fYDwCDnGWAmUZ42fJ8SeOkbhm6iT2QtvuixDEqMxR_gJ_NnjIbTPXfF4OMCio6VN3UFuDRZj1E4cKIva0XFJ212QiATco49NPb8DXjJHTw=s0-d)
![\fn_jvn f'(x)=\begin{matrix} lim\\h \to \0 \end{matrix}\left \frac{1}{\sqrt[3]{(x+h)^{2}}+\sqrt[3]{(x+h)x}+\sqrt[3]{x^{2}}}](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_vh2-3whXdc1arlpcS9VXv6_Dn46LNW8yz4v_0c3qCqoC40ETy48KaT9XYbVO-6zB86xpsBbD-B6tzGPtVQPnZ9b2YEhcOCuNIroYCtc9upQZQGdEGpVbNeFAfFkw3zavp9IvBteTiIShJfsR1R8McEquW9WzfeEhjPeeEhdPLXYjZDJaWzY1y_Hvo6XAl3WTRtGbT78HUtDgHTxNJRYmdjxTAVCD71HNKXi56rRCZA0GUxdsPP9hv_6FBTBGUqNr64cqXn6sSOyemddGt0TuTNMiwFz3p2zK0cghI3CxuiPLG2ko9qEy17VjYmAEcIuPiLIdkwjl6kYq7poscf3ieuEZ7ujihBasY67tLQDM4=s0-d)
![\fn_jvn f'(x)=\frac{1}{\sqrt[3]{(x+0)^{2}}+\sqrt[3]{(x+0)x}+\sqrt[3]{x^{2}}}](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_unJ0WYAdAQXPKNZcJMXAwf-LFBHtGXJLz_mAkINNP-rznGdNFddJ6Rj0GhoRH9p3vFUdp6KP0WkCtflDHTd5uXCYYbQHtIVcdU2KMqhs2uG12Q7y3knCtGZ4-xge98kDNBQ8RpK-34Qp-XdJ9X2LBo67_IWpelQgBnXZafjTmWB0Bl86PmCi6F_DcsQXth3ruoL6sCOtVOMs55Wj9CbMz8WrBu0rKeKGxnXO9OyRpobDlFtkvDgCqtHPKojsd3ila1Lm2OfxKM84K4=s0-d)
![\fn_jvn f'(x)=\frac{1}{3\sqrt[3]{x^{2}}}](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_v0e-l70oFcZmNCVjWB0ZdFFwMP8iIgZ9lsFbSTNy6KhjIoN58d8AVdThfjcYrDKxnaj1Y-tKWpC3h4sgO2zom6t2WS_Vz_TU90GrtFTv2_xpbCHIvEAPl8V-ZSC_pz44LhbdAKcjZgqYfYaEculvDtYoA3yP_ex0UPj3I9qbwQ5w6be0RhvluSxDwF=s0-d)
contoh 5
Tetukan turunan pertama dari f(x) = sin x
Jawab :











Cara II :

Dengan memakai rumus
maka diperoleh



Turunan pertama dari
adalah
Jawab :
contoh 5
Tetukan turunan pertama dari f(x) = sin x
Jawab :
Cara II :
Dengan memakai rumus
sin A – sin B = 2 cos ½ (A + B) sin ½ (A – B)
Komentar
Merkur Progress Adjustable Safety Razor, Barber Pole, Black (9" 1xbet X deccasino 5.4" หารายได้เสริม - 9 inches) | DE Safety Razor, Merkur Progress Double Edge Safety Razor, Futur 700, Safety Razor,