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Manipal MET2019MathematicsDifferentiation

The derivative of f(x)=3|2+x| at the point x₀=-3 is

Options

  1. A3
  2. B-3
  3. C0
  4. DNone of the above

Correct answer

B. -3

Step-by-step solution

We have, f(x)=3|2+x| as f(x)=|x| f^ (x)= x |x| Now, f(x)=3|x+2| f(x)=3 x+2 |x+2| =-3 ( . as .x₀=-3 )

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