Calxsolver
Subject:  Calculus

Find the tangent line to y = x² at x = 3

Evaluate f(a) and f'(a) and assemble the tangent line equation.

Answer y = 6x − 9

Solution

  1. Function f(x) = x^2
  2. Point of tangency (3, 9)
  3. Slope f'(3) ≈ 6
  4. Point-slope form y − 9 = 6(x − 3)
  5. Slope-intercept form y = 6x − 9

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