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AP EAMCET20226 Jul 2022Morning ShiftMathematicsApplication of DerivativesActual

m is the slope of a tangent to the curve e ^ y =1+ x ^2 at x =1 then m =

Options

  1. A2 2
  2. B2
  3. C2
  4. D1

Correct answer

D. 1

Step-by-step solution

We are given that the curve is: aligned & e ^ y =1+ x ^2 & y = _ e |1+ x ^2 | aligned Now, m = dy dx = ( 1 1+ x ^2 ) 2 x At x =1 m = ( 1 1+1 ) 2= 1 2 2

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