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COMEDK2020MathematicsApplication of Derivatives

The range in which y=-x²+6 x-3 is increasing, is

Options

  1. Ax>3
  2. Bx < 3
  3. C5 < x < 6
  4. D7 < x < 8

Correct answer

B. x < 3

Step-by-step solution

We have, y=-x²+6 x-3 d y d x =-2 x+6 Now, for increasing aligned & d y d x >0 -2 x+6>0 2 x & < 6 x < 3 aligned So, for x < 3, f(x) is increasing.

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