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AP EAMCET202315 May 2023Morning ShiftMathematicsApplication of DerivativesActual

Let f(x) be a differentiable function, A(0, ) and B(8, ) be two points on the curve y=f(x) . Given f(0)=2 and f^ (4)= -3 4 . If the chord A B of the curve is parallel to the tangent drawn at the point (4, f (4)) , then =

Options

  1. A-4
  2. B-6
  3. C2
  4. D8

Correct answer

A. -4

Step-by-step solution

Point A(0, ) is on y=f(x) f(0)= and also given f(0)=2 Therefore =2 . Since slope of chord A B= Slope of tangent on y=f(x) at x=4 - 8-0 =f^ (4) aligned & -2 8 =- 3 4 & =-4 aligned

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