f(x)在点x处可导,且lim f(x-3h)-f(0)/h =1,则F'(x)=?h-0
人气:403 ℃ 时间:2020-05-04 09:55:03
解答
lim f(x-3h)-f(x)/h
=(-3) lim ( f(x-3h)-f(x) )/(-3h)
=(-3) lim ( f(x-3h)-f(x) )/(-3h -0)
=(-3) f'(x)
即 (-3) f'(x)=1
f'(x)= -1/3
推荐
- 设y=f(x)在x=2处可导,则lim(h→0)f(2+3h)-f(2)/h=
- 设f(x)在x=2处可导,f'(2)=2,则lim h→0 [f(2-3h)-f(2)]/h=?
- 函数f(x)在x=a处可导,则Lim h→a [f(a+3h)-f(a-h)]/2h=
- 若函数f(x)在点x=a处可导,则lim(h→0)[f(a+4h)-f(a-2h)]/3h=?
- 若f'(x)=-3,则lim (h趋向0)时f(x+h)-f(x-3h)/h=?
- 圈组词有哪些
- 高数limx趋近于0时,可否把cosx-1看做-1/2x^2
- 用铁皮做一种无盖的圆柱形水桶,底面直径8dm,高10dm,做一对这样的水桶,至少要用铁皮多少平方分米?
猜你喜欢