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AP EAMCET2015MathematicsDefinite Integration

The slope of the tangent to the curve y= ₀^x 1 1+t^3 d t at the point, where x=1 is

Options

  1. A1 4
  2. B1 3
  3. C1 2
  4. D1

Correct answer

C. 1 2

Step-by-step solution

We have, y= ₀^x 1 1+t^3 d t Differentiating w.r.t. x , we get d y d x = 1 1+x^3 aligned & At x=1 & ( d y d x )_ x=1 = 1 1+1 = 1 2 aligned

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