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AP EAMCET202421 May 2024Morning ShiftMathematicsApplication of DerivativesActual

The point which lies on the tangent drawn to the curve x^4 e^y+2 y+1 =3 at the point (1,0) is

Options

  1. A(2,6)
  2. B(2,-6)
  3. C(-2,-6)
  4. D(-2,6)

Correct answer

D. (-2,6)

Step-by-step solution

x^4 e^y+2 y+1 =3 Differentiate w.r.t xx^4 e^y y^ +e^y 4 x^3+ 2 y^ 2 y+1 =0 at (1,0)y^ +4+y^ =0 y^ =-2 Tangent at (1,0) is y-0=-2(x-1) 2 x+y=2(-2,6) lies on it

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