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

Correct option is 3f'(1−)=f'(1+)=1

Questions

$If f (x) = \{\begin{cases} - 3 x + 2, x < 1 \\ \frac{1}{2} x^{2} + 7, x \geq 1, \end{cases} then which of the following is not true$

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f'(1+)=1

f'(1−)=−3

f'(1−)=f'(1+)=1

is not differentiable at x=1

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detailed solution

Correct option is C

f′(X)=−3, if x<1x, if x≥1⇒f11−=−3,f11+=1

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

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$If f (x) = \{\begin{cases} - 3 x + 2, x < 1 \\ \frac{1}{2} x^{2} + 7, x \geq 1, \end{cases} then which of the following is not true$