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AP Exams AP Calculus Derivatives Medium Practice Question

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Shortcut used: Identify the required derivative rule, differentiate symbolically, and verify signs and evaluation points.

Solve in 3 steps:

Mark the given values and the exact target.
Apply the relevant formula, rule, or concept.
Check the final value against the options.

Common mistake: Do not choose an option before confirming the exact demand of the question.

Question 8 Multiple Choice Question

Question

Why is f(x)=|x| not differentiable at x=0?

Explanation

Correct Answer: D

ANSWER

Correct Answer: D

Method / Topic: Derivatives

The unequal one-sided derivatives create a corner at x=0.

Why this answer is correct

The correct option matches the required rule and the given information.

Short Explanation

The unequal one-sided derivatives create a corner at x=0.

Detailed Explanation

Question

Why is f(x)=|x| not differentiable at x=0?

ANSWER

Correct Answer: D

Method / Topic: Derivatives

The unequal one-sided derivatives create a corner at x=0.

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Question 8

Medium Marks: 1.0 Practice Question

Free access limit is ending soon

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Learn + Solve: Shortcut, Trap & Fast Route Click to view shortcut, steps, and common mistake

Shortcut used: Identify the required derivative rule, differentiate symbolically, and verify signs and evaluation points.

Solve in 3 steps:

Mark the given values and the exact target.
Apply the relevant formula, rule, or concept.
Check the final value against the options.

Common mistake: Do not choose an option before confirming the exact demand of the question.

Question

Why is f(x)=|x| not differentiable at x=0?

Explanation

Correct Answer: D

ANSWER

Correct Answer: D

Method / Topic: Derivatives

The unequal one-sided derivatives create a corner at x=0.

Why this answer is correct

The correct option matches the required rule and the given information.

Short Explanation

The unequal one-sided derivatives create a corner at x=0.

Detailed Explanation

Question

Why is f(x)=|x| not differentiable at x=0?

ANSWER

Correct Answer: D

Method / Topic: Derivatives

The unequal one-sided derivatives create a corner at x=0.

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Identify the required derivative rule differentiate symbolically and verify signs and evaluation points.

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