Learn to determine the points where a function is non differentiable

The video tutorial discusses how to identify points where a function is non-differentiable, focusing on vertical asymptotes. It explains the process of simplifying the function by factoring the numerator and denominator, leading to the identification of vertical asymptotes at specific points. The tutorial concludes with a verification of these points and a note on the non-differentiability of the derivative at these values.

What are we looking for when identifying points of non-differentiability in a function?

• Horizontal asymptotes

• Vertical tangents

• Continuous points

• Inflection points

What is the result of factoring the numerator X^3 - 2?

• X + 1 * X^2 - 2X + 5

• X - 1 * X^2 + 2X + 5

• X + 2 * X^2 - 2X + 4

• X - 2 * X^2 + 2X + 4

Which of the following is a vertical asymptote identified in the function?

• X = 0

• X = 2

• X = -1

• X = 3

Why is the derivative not differentiable at X = -1 and X = 5?

• Because they are points of inflection

• Because they are continuous points

• Because they are vertical asymptotes

• Because they are horizontal asymptotes

What happens to the derivative at the points where there are vertical asymptotes?

• It is not defined

• It becomes infinite

• It becomes zero

• It remains constant