Calxsolver
Subject:  Calculus

Tangent line to y = x² at x = 2

Find the equation of the tangent line at a given point.

Answer y = 4x − 4

Solution

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

Try a similar problem yourself

Use the Tangent Line Calculator to solve a similar problem with your own values.

Open the solver

More Calculus problems

Find the derivative of x³ Apply the power rule to differentiate a single term. Find the derivative of 3x² − 5x + 2 Differentiate a quadratic polynomial term by term. Find ∫ (2x + 3) dx Apply the reverse power rule to compute an indefinite integral. Find ∫₀³ x² dx Compute a definite integral with the fundamental theorem of calculus. Find the derivative of eˣ at x = 0 Use a numeric derivative to confirm that the derivative of the exponential at 0 is 1. Find lim x→0 sin(x)/x The classic limit that underpins the derivative of the sine function.