设f(x)=g(x)/x ,x≠0;f(x)=0 ,x=0且g(0)=g'(0)=0,g"(x)=3.求f'(0)
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/30 20:19:18
![设f(x)=g(x)/x ,x≠0;f(x)=0 ,x=0且g(0)=g'(0)=0,g](/uploads/image/z/14985228-12-8.jpg?t=%E8%AE%BEf%28x%29%3Dg%28x%29%2Fx+%2Cx%E2%89%A00%3Bf%28x%29%3D0+%2Cx%3D0%E4%B8%94g%280%29%3Dg%27%280%EF%BC%89%3D0%2Cg%22%28x%29%3D3.%E6%B1%82f%27%280%EF%BC%89)
设f(x)=g(x)/x ,x≠0;f(x)=0 ,x=0且g(0)=g'(0)=0,g"(x)=3.求f'(0)
设f(x)=g(x)/x ,x≠0;f(x)=0 ,x=0且g(0)=g'(0)=0,g"(x)=3.求f'(0)
设f(x)=g(x)/x ,x≠0;f(x)=0 ,x=0且g(0)=g'(0)=0,g"(x)=3.求f'(0)
f'(0)=lim 【f(x)-f(0)】/x
=lim g(x)/x^2 洛必达法则
=lim g'(x)/(2x)
=0.5lim 【g'(x)-g'(0)】/x
=g''(0)/2
=3/2.