A-LevelMathematicsDifferentiation9709/12 · May/June 2011 · Q46 Marks
A curve has equation y = 4/(3x-4) and P (2, 2) is a point on the curve.
- (i)Find the equation of the tangent to the curve at P.[4]
- (ii)Find the angle that this tangent makes with the x-axis.[2]
Mark scheme
Marking points from the official mark scheme (May/June 2011). The mark or mark type is shown in brackets.
- [4] (i) dy/dx = -4(3x-4)⁻² × 3; B1 Correct without ×3. B1 For ×3.; If x = 2, m = -3; M1 A1 Correct line eqn. co (for normal M0A0); Eqn of tangent y − 2 = -3(x - 2)
- [2] (ii) tanθ = ±(-3); M1 Correct link with (± his gradient); A1√ co (accept acute or obtuse) or -71.6° or radians; → θ = ±108.4° (or ±71.6°) or scalar product, tanθ = y-step ÷ x-step or use of tan (A - B) M1A1 for each
Write your answer and get it marked
On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.
Sign up free →