Grade 12Differential Calculus

TANGENTS AND NORMALS
at what points on the curve y = x^2 – 4x + 5 is the tangent perpendicular to the line 2y+x = 7

taniska

11 Years agoGrade 12

1 Answer

Jitender Singh

11 Years ago

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

Slope of line = -1/2
Slope of tangent = m
$m(\frac{-1}{2}) = -1$
$m = 2$
$y = x^2 - 4x + 5$
$y' = 2x - 4$
$2x - 4 = 2$
$x = 3$
Put in curve
$y = 9 - 12 + 5$
$y = 2$

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TANGENTS AND NORMALS at what points on the curve y = x^2 – 4x + 5 is the tangent perpendicular to the line 2y+x = 7

taniska

1 Answer

Jitender Singh

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