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NDA 2014
Exam
NDA
Year
2014
Subject
Mathematics
Chapter
Continuity and Differentiability

NDA 2014 · Mathematics · Continuity and Differentiability

Consider the function f(x)=\ aligned x^2-5, & x ≤ 3 x+13 , & x > 3...

Consider the function f(x)=\left\{x2−5,x≤3x+13,x>3\begin{aligned} x^2-5, & x \leq 3 \\ \sqrt{x+13}, & x > 3\end{aligned}\right. What is the differential coefficient of f(x)f(x) at x=12x=12 ?

Options

  1. A52\frac{5}{2}
  2. B5
  3. C15\frac{1}{5}
  4. D110\frac{1}{10}

Correct answer

D. 110\frac{1}{10}

Step-by-step solution

The correct answer is option (D)
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