MCQ
If $\text{f(x)}=\frac{\text{x}^\text{n}-\text{a}^\text{n}}{\text{x}-\text{a}},$ then $\text{f}'\text{(a)}$ is:
- A$1$
- B$0$
- C$\frac{1}{2}$
- D$\text{dose not exist}$
✓
Answer
-
$\text{dose not exist}$
Solution:
Given: $\text{f(x)}=\frac{\text{x}^\text{n}-\text{a}^\text{n}}{\text{x}-\text{a}}$
Now, f(x) is not difined at x = a. Therefore, f(x) is not differentiable at x = a.
So, f'(a) dose not exist.
Hence, the correct answer is option (d).
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