Tangents and normals
Differentiation · Mathematics
Study notes
Q: Find the tangent and normal to y = x^2 at (2,4). m = f'(2) = 4. Tangent: y - 4 = 4(x - 2), so y = 4x - 4. Normal: y - 4 = (-1/4)(x - 2), so x + 4y = 18.
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Differentiation · Mathematics
Q: Find the tangent and normal to y = x^2 at (2,4). m = f'(2) = 4. Tangent: y - 4 = 4(x - 2), so y = 4x - 4. Normal: y - 4 = (-1/4)(x - 2), so x + 4y = 18.