A) 1
B) -1
C) 0
D) None of these
Correct Answer: D
Solution :
[d] We have, \[f(x)=\sqrt{{{x}^{2}}-10x+25}=\sqrt{{{(x-5)}^{2}}}=\left| x-5 \right|\] \[=\left\{ \begin{matrix} x-5,x\ge 5 \\ 5-x,x<5 \\ \end{matrix} \right.\] Clearly, f(x) is differentiable at all points on the interval [0, 7] except at x =5. \[\therefore \] The derivative of f(x) on the interval [0, 7] does not exist.
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