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)
1个回答
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.
相关问题
设f(x)=g(x)/x(x不等于0),f(x)=0(x=0),且已知g(0)=g'(0)=0,g''(0)=3,试求f
f(x)/g(x)=f(x0)/g(x0)=f(x)+f(x0)/g(x)+g(x0).为什么?
求分段函数的导数设 g(x)/x =0 f(x)={ 0 x=0 g(0)=g'(0)=0 g"(0)=2求 f‘(0)
设f(x)=0 x≤0,f(x)=x x>0 ,g(x)=0 x≤0 ,g(x)=-x^2 x>0
f(x)=g(x)/x,x≠0;0,x=0,其中g(x)可导,且在x=0处二阶导数g''(0)=3,且g(0)=g'(0
求不定积分f '(x)=g(x) g '(x)=2e^x-f(x) f(0)=0 g(0)=2求∫ [g(x)/(1+x
设f(0)的二阶导数存在,且f(0)=0,g(x)=f(x)/x (x≠0时) g(x)=f(0)的导数(x=0时),则
函数极限问题设 f(x)= g(x)/x ,x不等于00 ,x=0且已知g(0) =g'(0)=0,g''(0)=3,试
急等】利用原理f(x)/g(x)<0↔f(x)·g(x)<0,f(x)/g(x)>0↔f(x)·
设g(x)在x=0处二阶可导,且g(0)=0,f(x)=g(x),x≠0,f(x)=a,x=0;确定试a值,使函数f(x