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10 cards from this deck
Straight line touching a curve at exactly one point
Curve gradient = tangent gradient at that point
Gradient of the curve at any point
f′(x)f'(x)f′(x) evaluated at the point
y−y1=m(x−x1)y - y_1 = m(x - x_1)y−y1=m(x−x1)
Line perpendicular to tangent at point of contact
mtangent×mnormal=−1m_{\text{tangent}} \times m_{\text{normal}} = -1mtangent×mnormal=−1
mnormal=−1mtangentm_{\text{normal}} = -\frac{1}{m_{\text{tangent}}}mnormal=−mtangent1
Find the derivative using differentiation rules
Forgetting to find y-coordinate from original function
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