Đạo Hàm Của Hàm Số Y=2x+1 Tại X0=2 Là | Cungthi.online

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Đạo hàm của hàm số y=2x+1 tại x0=2 là A. 19 . B. −29 . C. −112 . D. 52 . Đáp án và lời giải Đáp án:B Lời giải:Lời giải Cách 1:Cho x0=2 một số gia Δx . Khi đó hàm số nhận một số gia tương ứng: Δy=fxo+Δx−fx0=2x0+Δx+1−2x0+1=2Δx+3−23=6−2Δx−63(Δx+3)=−2Δx3(Δx+3) . ΔyΔx=Δy. 1Δx=−2Δx3(Δx+3). 1Δx=−23(Δx+3) . Ta có f'2=limΔx→0ΔyΔx=limΔx→0−23(Δx+3)=−23(0+3)=−29 . Cách 2: limx→2fx−f2x−2=limx→22x+1−23x−2=limx→26−2x−2(x−2)(x+1)3=limx→2−2(x+1)3=−2(2+1)3=−29 . Kết luận theo định nghĩa,hàm số có đạo hàm tại x0=2 và f'2=−29 .

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Bài tập trắc nghiệm 15 phút Quy tắc tính đạo hàm: Tính đạo hàm tổng quát không chứa tham số. - Toán Học 11 - Đề số 6

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