Differentiation - Tangents and Normals at a Point
Differentiation - Tangents and Normals at a Point
The point \(P\) lies on the curve \(y = 5x^{2} - 7x + a\), where \(a\) is a constant. The equation of the normal at \(P\) is \(3y = -x - 8\). Find
- the coordinates of \(P\),
It is now given that the \(x\)-coordinate of \(P\) is positive. Find
- the value of \(a\),
- the equation of the tangent to the curve at \(P\).
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Answer:(a) \(P=(1,-3)\) (b) \(a=-1\) (c) \(y=3x-6\)
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