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JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Medium

1 of 1

Application +4 | -1

If

f(x)=\sqrt{x^2+9}

, then

\lim _{x \rightarrow 4} \frac{f(x)-f(4)}{x-4}

has the value

View answer and explanation

Correct option: C

4 / 5

Option C (

4 / 5

) is correct because the limit is the definition of the derivative of

f(x)

at

x=4

, and evaluating

f'(4)

gives

4/5

.

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y

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