If \(f\left( x \right) = \sqrt {25 - {x^2},} \) then what is \(\mathop {\lim }\limits_{x \to 1} \frac{{f\left( x \right) - f\left( 1 \right)}}{{x - 1}}\) equal to?

If \(f\left( x \right) = \sqrt {25 - {x^2},} \) then what is \(\matho

1.	If \(f\left( x \right) = \sqrt {25 - {x^2},} \) then what is \(\mathop {\lim }\limits_{x \to 1} \frac{{f\left( x \right) - f\left( 1 \right)}}{{x - 1}}\) equal to?
A.	\( - \frac{1}{{\sqrt {24} }}\)
B.	\(\frac{1}{{\sqrt {24} }}\)
C.	\( - \frac{1}{{4\sqrt 3 }}\)
D.	\(\frac{1}{{4\sqrt 3 }}\)
Answer» B. \(\frac{1}{{\sqrt {24} }}\)

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If \(f\left( x \right) = \sqrt {25 - {x^2},} \) then what is \(\mathop {\lim }\limits_{x \to 1} \frac{{f\left( x \right) - f\left( 1 \right)}}{{x - 1}}\) equal to?

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