If fx-xn-an-x-a- then f-a isA- 0B- does not existC- 1D- 1-2

The correct option is B does not exist Given : f(x)=x^n a^n/x a Now, f(x) is not defined at x = a. Therefore, f(x) is not differentiable at x = a So, f '(a) do ...

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Byju's Answer

Standard XII

Mathematics

Differentiability

If fx=xn-an/x...

Question

If $f (x) = \frac{x^{n} - a^{n}}{x - a}$ , then $f^{'} (a)$ is

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$\frac{1}{2}$

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does not exist

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Solution

The correct option is D
does not exist

Given : $f (x) = \frac{x^{n} - a^{n}}{x - a}$

Now, f(x) is not defined at x = a. Therefore, f(x) is not differentiable at x = a

So, $f^{'} (a)$ does not exist.

Suggest Corrections

Similar questions

Q. Let

f (x) = x - \frac{1}{x}

, then

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Q. Mark the correct alternative in each of the following:

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f (x) = \frac{x^{n} - a^{n}}{x - a}

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is

(a) 1 (b) 0 (c)

\frac{1}{2}

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Let f (x) = \frac{1 - x (1 + | 1 - x |)}{| 1 - x |} cos (\frac{1}{1 - x})

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is
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Q. If

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If f(x)=xn−anx−a, then f′(a) is

The correct option is D does not exist Given : f(x)=xn−anx−a Now, f(x) is not defined at x = a. Therefore, f(x) is not differentiable at x = a So, f′(a) does not exist.

If $f (x) = \frac{x^{n} - a^{n}}{x - a}$ , then $f^{'} (a)$ is

The correct option is D
does not exist

Given : $f (x) = \frac{x^{n} - a^{n}}{x - a}$

Now, f(x) is not defined at x = a. Therefore, f(x) is not differentiable at x = a

So, $f^{'} (a)$ does not exist.