what is first derivative?
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Tʜᴇ ғɪʀsᴛ ᴅᴇʀɪᴠᴀᴛɪᴠᴇ ᴏғ ᴀ ғᴜɴᴄᴛɪᴏɴ ɪs ᴀɴ ᴇxᴘʀᴇssɪᴏɴ ᴡʜɪᴄʜ ᴛᴇʟʟs ᴜs ᴛʜᴇ sʟᴏᴘᴇ ᴏғ ᴀ ᴛᴀɴɢᴇɴᴛ ʟɪɴᴇ ᴛᴏ ᴛʜᴇ ᴄᴜʀᴠᴇ ᴀᴛ ᴀɴʏ ɪɴsᴛᴀɴᴛ. Bᴇᴄᴀᴜsᴇ ᴏғ ᴛʜɪs ᴅᴇғɪɴɪᴛɪᴏɴ﹐ ᴛʜᴇ ғɪʀsᴛ ᴅᴇʀɪᴠᴀᴛɪᴠᴇ ᴏғ ᴀ ғᴜɴᴄᴛɪᴏɴ ᴛᴇʟʟs ᴜs ᴍᴜᴄʜ ᴀʙᴏᴜᴛ ᴛʜᴇ ғᴜɴᴄᴛɪᴏɴ. Iғ ɪs ᴘᴏsɪᴛɪᴠᴇ﹐ ᴛʜᴇɴ ᴍᴜsᴛ ʙᴇ ɪɴᴄʀᴇᴀsɪɴɢ. Iғ ɪs ɴᴇɢᴀᴛɪᴠᴇ﹐ ᴛʜᴇɴ ᴍᴜsᴛ ʙᴇ ᴅᴇᴄʀᴇᴀsɪɴɢ.
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