Turunan 3
Contoh 4 :
Turunan pertama dari
![\fn_jvn f(x)=\sqrt[3]{x}](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_uX935q7Zns5fZ4EdKrzrZ68BuU4koBUqYoMrap0eiiSYy5ppS_oC3NoCZaclYKOn7CTBLl6i9P5OeNjJt372TMm5ukkfLjQcNtMe3yXsFPqAavhvX53kfE_rdnkARIMZ01RwEsWKHwxfylyg=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_v9Sz46lRrqxgrSpQ5dEkgXFRV0mJqfiYVpK8LEaHgAMEkB2m_DpWBUoqO6pAMCU0i1XmV7xNnTzANw_ZzzxUTYYYjz_rm8Nq_pWFdDrJkZlgauPA3yWFqRe6yjNV-FgMOCybX13TrLeO71bPA_7Fg-ecFJWhn3phSO5AHsirs18Pqy6XWAGzbZ8Nmu5mrnksT0y-P4EWh-96YdDq5KgN4FxjcUW__fzFEMOmW3bDwp6W3atRXbNWTle7Urs0_hDy6F2e7CEgKpxnGBsp-1YYXOaE53Sxbd=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_sHoUPBCUdoylTqb-Na3YO1G0dUIOOeTw3F29mDUDT1xWPLBqabvOHITK2Mz5EWp6zs1o_Z07RZWHO6nKBbgdC2uPbUjNUAicHsDJxg_VKNRxm0ztLBwywqDuWyzju14aJ2-BF4NjEVm6nsonr5Vv0xKInLbVd6hr7jjZ7q2Z_w6TolBExRLRvsDrFyFVfWUZFpNVIjo1aBkU55NpmoCMay3VZYOMXc1l7LntC-KH96vMNdc9bphmwvLcPgNcaKPceJveHG5TGfQ1cJRc7h_74o2YRKJfkF9cThKucpjR9B5U5nJHB5em0KPYFDqufQKEe-RRlWugwaYk6v9tnLHSaENrvWNgTm_ewGS29oRU83_l4cvMtQE16U-ZwakHYPTZGWM5Ru4cjoSdvx0yhnvK4t4OR8wWBS37EnoLVEmjIj8-Cn7-xTZ1q-irCSrLCvOxduDYW18MXeulcvUh54pmj-s39uPZ9lY3rPxNFHT5BUaplSfiB1ytVdNhnWsT1P1qPK2eA5vI9OkXJ5AGcI0c2WYNs1qfUMgpQ71yEtBoXuh8L814nJ2IrNZhur5IlM7Vq8cZxKxxw3Fesr_6uEGpy3seVenom0RxT_FISRlcEg=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_uIRETbHi6z82gBVlawbme0MopWD5KMZx_AHYjAG94NtFGUA0HzpB4oMrAOTW3KLb5SVFBY8VFunXd7YuQBBNCBbD8NNUdqaYQD7CNPfRIOHLTGMLqlA3GOZ2sNe6OWcInoBISXhY7nfrjSKS3kFZLStudEuyv33ZbeVYE2A2Pq-fdP0lMpXsfweV0mTfG5rZbxJd2NXRc0Re7ayCxJ-iJOgFycWqCrFDZYjA1XijTVOoRmdQA-6pA3m49Uz99zeDXMGeLv8m4KDkErs-9DvMwNYpDNGgp46btc4u4qfsPwSq6iD9NsD0xU-deMOrUtnx4l67IcYYJu4tbVZJnrRdSjOztnKvy8pPPSSgh_xmNLsjG7iT_rh6XeHBnvOwdvPcdC6FRDKAbUOQ=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_u3uabEs_wXsb0SwupW5w4joIeI3-6qZMpztxou1fb-j8COsgz5_ZQaFCRPsQtbZXtfEObeRPvM6SlFNXDrCTw-4tJnBBOvoK6sL0_in_ggQxDVFf2W5OpE0VACJF1sx3i9A4BAmohL-wSm-wnsbsSZbF9zfDGEQr7VqPJqIxWwJ-WvRRl5mmM2uLrVCXUdS85yU3Md7p60jKh8TCUBgWFkGkRiZXoNGmSft032I9KRcDmh60gXuLLFATAQT75c25_lM3a_Qz3A10wWSlUhOBKJvp8Obe3yWNpckk179vlSbUMVSGUyvD_2dt54bhZGBA_vSsCquDASuW6ckx8MYhnkqf8nJrVm8yKQ6SCQgIzg2NCjshpoJ86qTt78DXb1x2R-Q5MkYA=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_uhD-k_vwyF2HgliYhoBWPYrYV1jypNZZ4THOjxiUEaHQIPrZKdG2JpmmJ8KxKOGF-RkQMqgKCLkkbqmXDjCWg30FFmptBvm-0mU8Vrd9TjWogy_KOAh8qvsYqblIWCgRtyoOX1U2_6om9lxCFoOFRe7gzhRxW6NcETz__hjg8qh4yp9_OC68nId8gi87EQJoGwuEWyju4SIeP3_JAVDKgF1ESA_FY2ruAky_w7bUNp7wRVGhQ-CGcZwammoUnvAbYaCdevSqLTW8v8_FVACnTn5j2eFkS220IYevzU_aXuJa6b7aQqQZ4loX_bnySaS4vR0A1IdTeRev6yZi51HkStLJCI-s-pMINd6ll_Ew4=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_trodPbGDiAYGok_IjLHEG1mUer2Bmm8wBkS4FxDMip541_Figoe77IWwMZiM9qRgdp8KFDDeTXtt9Dm2RPcmHHhfpxDe9NsIvnqpASHeMbqMJzLhEd0NZSJLqkP8dW_dpOSFJoDTFg26zxd-HdbJtOfLYZnJxiuY8dlxJRlQQG31f4o-zg-ksJqaTarumDKAOl5F9y93aJWRp45Xds0qfe-Zm1jA4jqULUlbReTQcayjdcno43bT4NYvJBxPZ29dBok1I5y1zxLwwU=s0-d)
![\fn_jvn f'(x)=\frac{1}{3\sqrt[3]{x^{2}}}](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_sNt5k5pGUt-UY3VHmiRN6mRnAaGy2Q9S4Y_xuvehwKkcXxCdLlHThPVpm3dkXNciKmsFKcmLWqr3mPbaFwEGGanIaXg_Cmgd9qZzFWFANfBQiarUIepoC7n7ruC5Q2fCfPwJ-P7RUZd61itauOG1SRIx5dAueWuLiKxP-lDZZa3fiAvY0FWBBWJAP3=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,