大学数学导数如图
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/22 03:09:56
![大学数学导数如图](/uploads/image/z/8848838-38-8.jpg?t=%E5%A4%A7%E5%AD%A6%E6%95%B0%E5%AD%A6%E5%AF%BC%E6%95%B0%E5%A6%82%E5%9B%BE)
大学数学导数如图
大学数学导数如图
大学数学导数如图
f(x) = x^2.sin(1/x) ,x≠0
= 0 ,x=0
φ'(0) exists
g(x) = φ[f(x)]
Prove :g'(0)=0
lim(x->0) f(x) = 0 = f(0)
=>f(0) cts
f'(0) = lim(h->0) (f(h) - f(0) ) / h
=lim(h->0) h^2.sin(1/h) / h
=lim(h->0) hsin(1/h)
=0
g(x) = φ[f(x)]
g'(x) =f'(x) .φ'[f(x)]
g'(0) =f'(0) .φ'[f(0)]
=f'(0) .φ'(0)
=0.φ'(0)
=0
搞错了,
弹簧3额熔
也来想想