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MHT CET2009MathematicsApplication of Derivatives

The equation of the tangent to the curve y=4 x e^ x at (-1, -4 e ) is

Options

  1. Ay=-1
  2. By=- 4 e
  3. Cx=-1
  4. Dx= -4 e

Correct answer

B. y=- 4 e

Step-by-step solution

iven curve is y=4 x e^ x d y d x =4 e^ x +4 x e^ x At (-1,- 4 e ) ( d y d x )_ (-1,-4 / e) =4 e⁻¹+4(-1) e⁻¹=0 Equation of tangent is aligned & (y+ 4 e ) &=0(x+1) & y &=- 4 e aligned

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