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BITSAT2012MathematicsApplication of DerivativesActual

If the normal to the curve y=f(x) at the point (3,4) makes an angle 3 / 4 with the positive x -axis, then f ^ (3)=

Options

  1. A-1
  2. B-3 / 4
  3. C4 / 3
  4. D1

Correct answer

D. 1

Step-by-step solution

Slope of normal to y=f(x) at (3,4) is -1 f^ (3) . Thus, array c -1 f ^ (3) = ( 3 4 )= ( 2 + 4 ) =- 4 =-1 f ^ (3)=1 array

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