12 Мысал функцияның өсімшесі мен дифференциалын салыстыр
Шешуі: Функция өсімшесін табамыз
![](data:image/png;base64,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)
13 Мысал -дің жуық мәнін есепте.
Шешуі: Егер
Формуланы қолданамыз
14 Мысал Радиусы (м). Дөңгелек ауданының жуық мәнін есепте.
Шешуі: деп белгілейміз.
функцияны дифференциалдаймыз.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANEAAAAUCAIAAACcfU+/AAAGs0lEQVR4nO1aa0hUWxQ+moqVSEqZUlioiZSlkWJZWmKFhHDFbimIEppoDk2ZKFwob5mmBqWlpSaarzSiLB8/xEdaWaho2o8e9KCkUkG5GZSP0rofZ3PPnGbm7Dlz5nEv3Pl+bPZsz1lrf2uvvR4HLX7+/MmYYIIRYfFvb8CE/x1MPmeCsaHe527evJmSkvL+/XvMf/z4QRabmpqKioqeP38+Ojq6ePHi5cuXr127Fk9K1h0eHj40NDQ2NmZmZubu7h4bG3v48GExL168eDE3Nxfb4FYsLS3t7Oy8vb3j4uL27dun7U6U+OpdvlpIo2+IvTU0NPj4+KxYscKgWjio97nfWZibm3Mr8DaZTBYWFtbc3Ozq6joxMdHa2iqXy3XR3d3dXV9f7+vrOz4+npycfOTIEUwyMjI0vihnQbZHrsTU1FR/f/+xY8ciIiLevn2blpam1U6U+OpdvlpIo2+IvZ06dSo0NJSv2qAWEJtbs7OzMZaXly9ZsgSTlStX4l5ev35dsmJgy5Yt27ZtI9Ly8vJu3bpVWloqxudUsWjRosDAwKtXr3p5eRUUFOjFJwwtX1/0ddxbb28vCbfp6ekWFoL+oEcLiPU5XEGMr1+/RhDmFhHqJCtm2JDOzZctW4bxy5cvugh0c3PD+PnzZ12EGE2+fulL3ltxcTHS1507d27fvq0xaerFAr/43P3790+cOPH48eO5uTlcPtQZ3JeUzZs337t3b8+ePefPn4+MjKRcCODkyZOzs7OUBzIzMxcsWMBfwT3D6OHhQd8u4nxJSUl8fLzaDbx48QLjpk2b6EI4UPiqhRj5Ergz4ujrlzvBXyzOnTuHC4DySaPP6cUCit339fXt2rULpsdJrF+/fnJy0sHBgftrWVnZ9u3bP378GBMTc/ToUdwM1JLIDmqFDg8Pz8zMULSqHm1HRwdGGJRbQQ17+fLlkZERVBUI7NbW1jgqRAKU24cOHVJ6fXp6GjkC1Qaam5ycHIpqkXwly5fAnVGhb2juHJArDxw4gOgVFBR09+5duJSQ3+vRAgqfA8/v37+fOXNm48aN+Ll06VL+cy4uLtgQ2pmKiopXr16Vs9i/f39VVZWVlZUqEzpVJUAvwufWrVsPHjxIVt69ewdDv3z5EhafZYE2GUZ/+vSpklH4jU5ISEhtba3GYCmGr2T52nJnVOgbgTuHpqYm4u6JiYnwOYS6CxcuKD2jdwsofO7JkycYUScKPQoH/4PFwMAAnK+6uvrGjRtosBGZ6To0IiUlBbcfRTRHb/Xq1ejjcF3QomNx4cKFSH9YR8uMDMh/l3RV6OrXrVuHNLFmzRq6LkRr6EJs08hXmnwJUKJvBO7kZ1tb244dO0iiR+KCZyOCIIZBoy5aNELhcx8+fGD+KWbpQDqvrKzEiCSLXeroc2fPnoUVOjs7VVMbLjfuOpkTu6vGVAInJyc0U9HR0SgmTp8+TVGHU5yfn2e04auVfG0hRN+g3AmuXLmSn59P5qgRY2Njs7Ozr127xmUbaVo0QuFziOffvn1DJFdbou7cubO9vZ2/guIDPvf161fVhxF71a5zePPmDbEgODc2NnZ1dZFPMEqYmJiwt7cnc2J3CqKiourr63FNEf+Rp4Qew+mSCZ2vZPniuTNU+gblDqA0x8j/DowDRb2B9KrW58Rr0WgBhbk3bNjQ3d396NEjVNaqzw0ODoI5/3iePXvGCLQwly5dopsJWQMjSofW1lZEeKVgzgHHs2rVKjKHiyDdoJJFZBL6poC2/8GDB7iLQ0NDtra2lA0wmvhKli+SO6OJvkG5A6WlpUq+hZy+e/fulpYW9Ap+fn6StWi0gMKHZDIZziA1NbWurs7Z2bmwsJD/3KdPn9DaHD9+3N/fn2E/JMrlctxX8q1YCcHBwRSVHJKTkxm2TOQvkurBxsYGrGpqashXU4ZtYuDlOCRMhATiSEjDn5SUhHfp2ul8JcsXyZ0Rpm8E7siwaB2QJZXWExIS4HOQI+RzerGAwuciIiImJydRnHl5eTk6OqInRwpH5ejp6dnT04NcjhsJTViBF6P4CAgIQAvj7e1NVyANcAW0k+7u7tBLVrKysuDlcXFxJSUlGRkZZWVlZB2bRN5HQ0N+7t27NzIyEhtDAEOtyR2bKih8UVBzAiXL/y9zb2hoePjwIb8h5QOtISRDjo5ahPBLKZPAgvuJFpWby1hoK50O7r8HVPEnC/7KbyzIHLTT09OF3q1lIWYDFL6ZmZm6y6dDiL4RuIeHh1OMT6A2g2mlRQim/2Uywdgw+ZwJxobJ50wwNv4GvAESZIrDsOQAAAAASUVORK5CYII=) ![](data:image/png;base64,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)
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Достарыңызбен бөлісу: |