问题
选择题
曲线y=2x2在点P(1,2)处的切线方程是( )
A.4x-y-2=0
B.4x+y-2=O
C.4x+y+2=O
D.4x-y+2=0
答案
∵曲线y=2x2过点P(1,2)
∴y′=4x,在点x=1斜率k=4×1=4,
∴y=2x2在点P(1,2)处的切线方程是:y-2=4(x-1),
∴4x-y-2=0,
故选A.
曲线y=2x2在点P(1,2)处的切线方程是( )
A.4x-y-2=0
B.4x+y-2=O
C.4x+y+2=O
D.4x-y+2=0
∵曲线y=2x2过点P(1,2)
∴y′=4x,在点x=1斜率k=4×1=4,
∴y=2x2在点P(1,2)处的切线方程是:y-2=4(x-1),
∴4x-y-2=0,
故选A.