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tangents and normals
find the equation of a normal to the curve y=x log_e x which is parallel to the line 2x – 2y + 3 = 0

taniska , 10 Years ago

Grade 12

1 Answers

Jitender Singh

Last Activity: 10 Years ago

Ans:
Hello Student,
Please find answer to your question below

$y = xlnx$
Slope of normal: -1/y’ = 1
y’ = -1
$y' = lnx + 1$
$y' = lnx + 1 = -1$
$lnx = -2$
$x = \frac{1}{e^2}$
$y = \frac{-2}{e^2}$
Equation:
$(y + \frac{2}{e^2}) = (x - \frac{1}{e^2})$

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