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KCET2007MathematicsApplication of Derivatives

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

Options

  1. Ax < 3
  2. Bx>3
  3. C7 < x < 8
  4. D5 < x < 6

Correct answer

B. x>3

Step-by-step solution

Given, y=-x²+6 x-3 d y d x =-2 x+6=y^ y is increasing, if y^ >0 -2 x+6>0 -2 x>-6 2 x>6 x>3

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