The equation of a curve is $y=a\sqrt{2x+1}+b$, where $a$ and $b$ are constants. The equat

Question

The equation of a curve is $y=a\sqrt{2x+1}+b$, where $a$ and $b$ are constants. The equation of the normal to the curve at the point where $x=4$ is $2y+3x=20$. Find the value of $a$ and of $b$. .

Accepted Answer

$a=2$, $b=-2$

Differentiation - Tangents and Normals at a Point

Differentiation - Tangents and Normals at a Point

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