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Q.

If f(x)=-3x+2,x<112x2+7,x≥1, then which of the following is not true

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a

f'(1+)=1

b

f'(1−)=−3

c

f'(1−)=f'(1+)=1

d

f is not differentiable at x=1

answer is C.

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Detailed Solution

f'(X)=−3,    if   x<1   x,   if    x≥1⇒f1(1−)=−3,f1(1+)=1
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If f(x)=-3x+2,x<112x2+7,x≥1, then which of the following is not true