291 Bài trắc nghiệm Hàm số Cực hay có lời giải chi tiết (P3)

Cho hàm số y = f(x) có đạo hàm trên R, f'(x) lớn hơn hoặc bằng x^4

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Cho hàm số y = f(x) có đạo hàm trên R; f'(x) ≥ x4+2x2-2x, E2im8LAMxxaP4Si9UmzVrcA4DuDiVk2ZdzqbdQrEqyqzcq6P6fORo0ywZMhmTOcRHsNyEtvteqULR3p2fdyhY9lnpGi-7kPnNvwzD1EJLakgY-eVeZjUx2W1eUSvOvNwD-gzAp1ecgET4YolPw và f(1) = -1. Khẳng định nào sau đây đúng?

Phương trình ArestuxJPdSFp86Beozkv7Lm6dSQyThizXHfoU-PJYvaH7qzW5w7FsLdCKU4oFMThUULzS100pv3dQm16wfVSIRZWN_AdXxWQKqv3j-_g-nglI1YIEi7BhtRmVfeXAjpuXz5i0emSRvgzWcH7gE0XeL9g93U2W8s8_MV04gbkUkGHxhrs0wNAiGxMr6PnQZTFaJY7ONqKavayvHM2qk6yAdYby1W-xOj1qNQek8vkk92vmlbHecizXc29Z93JtEwcoXgFahdPROeBqzsrbIljEz2fCczXDrxQzdQ nghiệm trên t8i7q6CocsYg3zArvssIoDXQjeX0liOP2URUvk-JjGIBq9Gqs74BilauA1dD9cQxCj0E2j5ZVULc7R8kmkesRJTPpdgYI_9ckkqn4i-EMGeRQVjjHHdzVtke3HxqcVK-b0Gu8o5juS_uBO4Z3Q.

Phương trình nLZ1vzo0vdqz8ZLdDVzg5EFZQdjgVrBAkr2EUJBjC2PY6HiBn5yp5HabatJJ9wygqRnvHUL1Y2Ean0Qap1lwdBO-6Nbwi_CctV9Oza5xiXOdRL84req1t4CKvHzW8BXei5FFE39fRxczmKqQKw có 1 nghiệm trên N_NkI6WZP9pxMVgUixuhs3Z9x7PywoqVOf94ACiGCQeKRA0N0awi2qEkGXoq04-sWvBOJegVrItiek6h3ecWvzV2RrNqNJsKivR7SGpdDT37ecqKEq_0gI-09ZkVMpuROzBBA9LqB3EW9kMQAw.

Phương trìnhh4Emu94FCrSUQ47aOp0yUdJXQKHgd6hwEEYFD70rSs-bGsf_1g8dfxJ9RYRg2aeV-fGTUH8j3lH9GlOvvKJA-vmZAiklrcD3mLV1tzr9h1r37jgkQMPbzXpEWKoX6v2lSXJvJIfy8PfbxtNgfQl1gZZf4FEJV_9tePXKn39tfCNk4Te7kQ-copPaRrMIEiE9dWSpOcxKOpJZqZsbvYEn-ZLHi85-mQCijs4xrovP-ostwAgSWwgaOC-DxuhfHbKyKBqn9D4hX1zJXfycqX9ioe6gJ0HgkrtvJrbwnghiệm trênxltZDJrsFU83QNsX8jZnLnwjrYqmiYUPvMt1pGH6VFdWKoSKMOhadOtO2FJTucrvxd3RcIZohs7a2DA7Davz6reMHpleFFQ9xjxBA1USeIlQhPVpZwqWkkU7bz9DomSsu6Xjqy369gzwz3bNmQ.

Phương trình6CLzyUzOkSCgi2uVIjsYRt4MUhOjcL8DaFep8BxTuhA4fzWfIVbVIGx40qa_ooGmh4YIxze4wGMvX-UtWeC9TSbVGxU3HiaIIz5-qoC_9hpSEDDpdROsqPX_-uhY08swpakaZfoebcleE7nqrAcó đúngWslduQyGiQIoXSqrZnjCWb3F1NDhJEF59AN2AMCo905GSa13OXdDqd-n48Hy7TQsNwuE1nlmPus0-ryrcy-652JAck_4jfCfEjjuKXlKON3b2MblvDqSg2AnxxwdGMy3yZGmkV3_9_ngUffSgQnghiệm trênY_ZZ9MzJzAg7V-nRyLyMzHYkyf1Z8UBo21YErRBn5BGtAmAs92bH2AOpaTstzxUi_K9ypw6LN28U97Jky42wtR3XW7si33Mejfs7ysZEtUhB4l_Wxr01cFtPuWpUNOtwu6GatbhBBWG5uV_YnQ.

Giải thích

Đáp án A

xpKbzEtvN_qAiFNSz_rc89sWX2YK1ysCCcMX4rHdQAFB-V36odZCIyTKFJuu-z_jwjNvWIyTv5WfZllee9SXzP-aEpcqiQxZWvQIEbHe7h6r2p-ftuY6F3tmheeFhJM28tt1CP_gzJZhzd32xA5PN3Qkbw0EbRqRTCoGXv3W6etreu0dWoRVvMEbqA9WTclI4qJkMR4QRaykVUS59QBLdixqKksjeeaTWpQdY1IffUGcZ1etv573cdjKnQ7eoz9r-x8sNMDhQWzmctG4rz8qyzno-BRJ0z5NH9Bw iJD7PXAnOb175GIDoNvJfip-HdPTgJEEnkOgqvrnP32pqk5GNDsHWZy9ESOiRsNNPG7pnM4OJ2KtP5BZcTVzk80KeJ6eEpiXVQGESn574wecEEorr075rWiPKAnQML_1kjgjoenabyHA2DjtBg, wMDnIdze9jEySJF1OyQGEL8tumgQG-M6bByGl_2FFaeDxreq1uNXR4ykeEbNTxZRG46GGD7L935c7DpX3PAIRQBksg_Uk5jigZDG2OnLKDyBT9oyxBPn6G4fG6bqp9weaHqSE5BiR_0iV4II5g.

CNfP23RRMrTOplEM624DLyXysyggV690QHkbqF3avu4jr6HPlZ5ggU7vkD2d06SCY-20VfHgMp1WXHkkEfGStCwa4AWEHknxu-KXKQHGKSneSpFpCMJmxT4vh_0o4RL4q7Zw8P2uSAPtEl00Gg đồng biến trên rWAN8cbBpWr14Ld7YXlF6WSgrtUj6pQVwLiweUt9tjWGns2Y3-kRoVk7WQMU6_BjKTyMajnAXKlHmhikMZbAM5PPDMIpe5gUR3jMe-hZ_uJQTOdEVbWWHHnTsa67UKyXPNYiltXnikZwlExrzg.

xtuwbebA2elVx2CUOa2MuRK5iRSZNy2w4_nQzPkJGT4Yk6chVT8WSr9Z8-acM-WZjbNyMhh5g_w03ROSsb6gMmJvwGZv9qyBsm-2TbsRtl7eYtcWG_NgZUl8TqiuDWldsvzWqoI2WNEo6JT6iQ có nhiều nhất oMZkxD9aRm2Lc7XoAVDdjLNBjezx3WHLzETk4MhT0cegNc5ODSST-ae3ajuoWlDTRuBz4kI9ll5o2d8SATIxBoirm_qZ5anZGgMhLw7Se67nm6eXQrA5K2XV2Ceu4cFiLKOc7YnZM--EX8cq5Q nghiệm trên khoảng mmpVv2Y3RX-jS-hDbiQVRg7pKt6iS_PQmXc0obVK9nioVC58RVZ6pG_hrF7zy3lwxLNvUZgOTXIsSigOg-FXkK-rYJWc1l3Uw8Kr5PNL0MROQtV0oYekdMulR2NxpVLP52AC4m7pBBbgnPUvsQ xNxvyYlRFAhC-Ks2ui3-pa3_M7Qyz5w-VXR77Shx9KB0r8Fs3yD3b6EwBcg1Ivp91Xds73S3_kxrLPR-sdo4Y_yYUsNfqvfl89ZwWTAMvhDHzYSsD50sR017I3iv2aVE10MQtKItS-560-of0g.

Mặt khác ta có:

H7rmXdSEgyrCq-nWuWgD6bX56CzD0WOWie14T2470CLONgcEk10YJ7uhz6f6k66nIEK2wf5--sv6XRpyZax5_uqoZiYL1t4yy4zGjKdKDFxDbRwk6LOzT2ooRbmKW1C2Wm7pQTsWUkAxEW8sGQ, onPvrHQ3omXKDQjQshYibRogBjMVfebilobMNywvZgV6DWlBy2qP39BGaStMhR78c8TXB-FKs7jPEfTLIi2nlV_LhDPG9MHRHM1zeQtxh0XYZDj2CRiRgm9YZAhdcPjesXR-R3-PoKixPwtz3w
XZJ0p2AY6JyWyijiYhA1h0qMZFGht3HZlPv8l8T7evSruU7ZSQRQUjehpydq31LSTi5jJ3qFKL9TiPGiosZkbHwOJ3r-qAvaZbqUK0nrcSOgvuYftEH6B4iGnNxQhmq_hOZ8szQjoKepLsEyEA

khoảng (1;2)

 LtRO2VPLJWqqiB_DMLeRsvXKNau5g5LTii0rxw5eYAQYaFkKiDHLwUvL3V-a7ftsD-6sPFwUA7PiQ0aAm5PMw_gyzY6LvC4UyO36dbUd8hJCj8SFqcpXFtOBatU-xBl9sAZtCBKXOozX8UuoAw yP1e9v3XZpR71f2nuMYIgww583N3nG7M5wtY2ZU6WoniSfdRxYJSwQ1AZSH2wfXt4-VqNxQ2P2TO4zfMrt8Ci3eFpTbyClHq6lWXe3s1rCh3ZBc4rMc6pdyGkgpyiI9BViax_e3cjRVMSUVbRw.

Kết hợp giả thiết ta có EiFTcJgGc-T8ZnG_olW9KbJSkzxKoNC0QwIkkzCZXAXpJAlsreXcWNMgf_G6xF0K8LRXVAu7LKzC6NeDyjJE9jrE8N1AaDWI6Jr3jRckXUVJiQiI_CRDDnKaM-MWKZytKJ6ykW1k0GDrOc0xaA liên tục trên kWvS4SUMUC5u8UOTvVJsgcfrRXy9LJqnYyx7GCh_yPZTIl4v8_gAzhKIQwsAiRxw9jqaKPx1Jq6EAowHTRbllsFLZX1OyV1CbaVfUFQNQU-SJAkq_EFXjQlkOzhiKy6NHDYRbbmRohRnsHsNyAH57LHZ9VInMc9QdkjOZwkUznK7sFsGKDuGLS9OO7qGHQOEFYNL5S3FyjxLOYIQ4bVu3rsZ9na-OLhLXxLKCWrAmiIG8OtbZXbJEQwM7q9uUzaK30HOFsYQVU4A-7muDN4cK89DHl1mkB-Lyq1g PKxe1wqjFmW3DZx-n9FjfkDwIU6s3lHWWRDxZSHmQY_bJsgD00oZ3X5JMSS5k7EBCXyHcwWHP-Iu161bh6Lowt6ql8BiVU2Hjo6EN6urzelTqRZVFlN5jOOpT-M8JgXfDpYbn-KXv5G4buTL9Q.

Từ (1) và (2) suy ra phương trình f(x) = 0 có đúng 1 nghiệm trên khoảng (1;2)