曲线过点和曲线在点的切线方程怎么求,举例

2024-12-03 03:11:05
推荐回答(1个)
回答1:

y=f(x)
P点在y上
P(x0,f(x0))
切线y-f(x0)=f'(x0)(x-x0)

P点不在y上
P(x0,y0) 切点Q(x1,f(x1))
切线斜率k=(y0-f(x1))/(x0-x1)
f'(x1)=(y0-f(x1))/(x0-x1)
解x1
切线y-f(x1)=f'(x1)(x-x1)