问题
选择题
曲线y=ex(其中e=2.71828…)在x=1处的切线方程为( )
A.ex-y=0
B.ex-y-2e=0
C.ex-y+2e=0
D.ex-y-e=0
答案
f'(x)=ex,
y=f(x)在点(1,f(1))处的切线斜率是e1=e,而f(1)=e,
曲线y=ex在点(1,f(1))处的切线方程为:
y-e=e(x-1),即ex-y=0.
故选A.
曲线y=ex(其中e=2.71828…)在x=1处的切线方程为( )
A.ex-y=0
B.ex-y-2e=0
C.ex-y+2e=0
D.ex-y-e=0
f'(x)=ex,
y=f(x)在点(1,f(1))处的切线斜率是e1=e,而f(1)=e,
曲线y=ex在点(1,f(1))处的切线方程为:
y-e=e(x-1),即ex-y=0.
故选A.