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Mark the correct alternative in each of the following: If f ( x ) = x n − a n x − a then f ′ ( a ) - Mathematics

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MCQ

Mark the correct alternative in each of the following: 

If\[f\left( x \right) = \frac{x^n - a^n}{x - a}\] then \[f'\left( a \right)\] 

Options

  •  1   

  •  0               

  • \[\frac{1}{2}\] 

  • does not exist 

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Solution

Given: 

\[f\left( x \right) = \frac{x^n - a^n}{x - a}\] 

Now, f(x) is not defined at x = a. Therefore, f(x) is not differentiable at x = a. \[f'\left( a \right)\] does not exist.
Hence, the correct answer is option (d).

Concept: The Concept of Derivative - Algebra of Derivative of Functions
  Is there an error in this question or solution?

APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 30 Derivatives
Q 11 | Page 48

Video TutorialsVIEW ALL [1]

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