设f(x)=(2+|x|)sin(x)在x=0处设f(x)=(2+|x|)sin(x),则f(x)在x=0处 ( )A)f ' (0)=2 B) f ' (0)=0C) f ' (0)= 1 D) 不可导应该选哪个啊?
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![设f(x)=(2+|x|)sin(x)在x=0处设f(x)=(2+|x|)sin(x),则f(x)在x=0处 ( )A)f ' (0)=2 B) f ' (0)=0C) f ' (0)= 1 D) 不可导应该选哪个啊?](/uploads/image/z/15228924-60-4.jpg?t=%E8%AE%BEf%28x%29%3D%282%2B%7Cx%7C%29sin%28x%29%E5%9C%A8x%3D0%E5%A4%84%E8%AE%BEf%28x%29%3D%282%2B%7Cx%7C%29sin%28x%29%2C%E5%88%99f%28x%29%E5%9C%A8x%3D0%E5%A4%84+%28+%29A%29f+%27+%280%29%3D2+B%29+f+%27+%280%29%3D0C%29+f+%27+%280%29%3D+1+D%29+%E4%B8%8D%E5%8F%AF%E5%AF%BC%E5%BA%94%E8%AF%A5%E9%80%89%E5%93%AA%E4%B8%AA%E5%95%8A%3F)
设f(x)=(2+|x|)sin(x)在x=0处设f(x)=(2+|x|)sin(x),则f(x)在x=0处 ( )A)f ' (0)=2 B) f ' (0)=0C) f ' (0)= 1 D) 不可导应该选哪个啊?
设f(x)=(2+|x|)sin(x)在x=0处
设f(x)=(2+|x|)sin(x),则f(x)在x=0处 ( )
A)f ' (0)=2 B) f ' (0)=0
C) f ' (0)= 1 D) 不可导
应该选哪个啊?
设f(x)=(2+|x|)sin(x)在x=0处设f(x)=(2+|x|)sin(x),则f(x)在x=0处 ( )A)f ' (0)=2 B) f ' (0)=0C) f ' (0)= 1 D) 不可导应该选哪个啊?
1 函数在x=0处连续
2 左导=右导=2
(这个分别计算x>0和x<0时lim (f(x)-f(0))/x的值)
所以选A
B
同学这个题应该选择 A,你可以把这个写成分段函数,然后在X大于0和X小于0时分别求导数,再分别代入 x=0 计算 两个值都存在且等于 2 所以 应选择A
B
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