alleryThe TANGENT line to y = x² at the point (2, 4) has equation:
A$y = 4x$ (slope through origin)
B$y = 4x + 4$ (wrong y-intercept)
C$y = x − 2$ (incorrect calculation)
D$y = 4x − 4$ (correct tangent line)
Answer & Solution
Correct answer: D. $y = 4x − 4$ (correct tangent line)
dy/dx = 2x.
At x = 2: slope = 4. Tangent: y − 4 = 4(x − 2) → y = 4x − 4.
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