Question
A straight line perpendicular to and passing through the point of tangency of the tangent line is called the normal to the curve at that point. Find an equation of the tangent line and the normal to the curve $y=x^{3}-3 x+1$ at the point (2,3)
Step 1
The derivative \( y' \) is given by: \[ y' = \frac{d}{dx}(x^3 - 3x + 1) = 3x^2 - 3. \] Show more…
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The Product and Quotient Rules
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