Which of the following statements is not true | vedclass

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(C) The correct answer is $C$. Statement $A$ is true: Differentiability implies continuity. Statement $B$ is true: If $f'(x) = 0$ for all $x$ in an in

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If a function has a maximum or minimum at a point,then the function is differentiable at that point and its derivative is zero.

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(C) The correct answer is $C$. Statement $A$ is true: Differentiability implies continuity. Statement $B$ is true: If $f'(x) = 0$ for all $x$ in an interval,then $f(x)$ is a constant function. Statement $D$ is true: The derivative of a constant function is always $0$. Statement $C$ is false: $A$ function can have a maximum or minimum at a point where it is not differentiable (e.g.,$f(x) = |x|$ at $x = 0$ has a minimum,but it is not differentiable at $x = 0$).

Which of the following statements is not true?

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