MHT CET202120 Sep 2021Morning ShiftMathematicsApplication of DerivativesActual

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

Options

A6 x- e 4 y=-5
Bx - e 4 y =0
Cx=-1
Dy= -4 e

Correct answer

D. y= -4 e

Step-by-step solution

aligned & y=4 x ^ x & ( dy dx )_ (-1, -4 e ) =4(-1) e ⁻¹+4 e ⁻¹= -4 e + 4 e =0 aligned Thus tangent is parallel to X axis. Hence required equation of tangent is y= -4 e

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